Question 1 )
Options:
1) 34
2) 51
3) 68
4) 85
Correct Answer: 51
Question 2 )
Options:
1) 7
2) 14
3) 28
4) 35
Correct Answer: 28
Question:3) P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?[11-AUG-2017 Shift-3]
Options:
1) 1.5
2) 2
3) 2.5
4) 3
Correct Answer: 2.5
Question 4 )
Options:
1) 1200
2) 1800
3) 2400
4) 2800
Correct Answer: 2400
Question:5)
Options:
1) 144
2) 216
3) 256
4) 288
Correct Answer: 144
Question:6) In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR ?[12-AUG-2017 Shift-3]
Options:
1) 36
2) 54
3) 72
4) 216
Correct Answer: 54
Question:7) In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?[16-AUG-2017 Shift-1]
Options:
1) 150
2) 200
3) 210
4) 240
Correct Answer: 150
Question:8)
Options:
1) 15
2) 18
3) 20
4) 21
Correct Answer: 18
Question:9)ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?[16-AUG-2017 Shift-3]
Options:
1) 145
2) 290
3) 435
4) 580
Correct Answer: 290
Question 10)
Options:
1) 3
2) 4.5
3) 6
4) 6.5
Correct Answer: 6
Question:11) ΔABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?[17-AUG-2017 Shift-1]
Options:
1) 6
2) 18
3) 21
4) 12
Correct Answer: 12
Question:12)What is the reflection of the point (-2, 5) in the line x = -1?[17-AUG-2017 Shift-3]
Options:
1) (-2 , -7)
2) (0 , 5)
3) (2 , 5)
4) (-2 , 7)
Correct Answer: (0 , 5)
Question:13) Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?[17-AUG-2017 Shift-3]
Options:
1) (-1 , 7)
2) (1 , -7)
3) (1 , 6)
4) (-1 , -7)
Correct Answer: (1 , 6)
Question:14) What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?[17-AUG-2017 Shift-3]
Options:
1) -3
2) 3
3) -1/3
4) 1/3
Correct Answer: -1/3
Question:15) What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?[18-AUG-2017 Shift-1]
Options:
1) (1 , -1)
2) (-1 , 1)
3) (2 , -2)
4) (-2 , 2)
Correct Answer: (1 , -1)
Question:16)Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?[18-AUG-2017 Shift-1]
Options:
1) -1
2) 2
3) -2
4) 1
Correct Answer: 1
Question:17) What is the reflection of the point (5, 2) in the line x = -3?[18-AUG-2017 Shift-1]
Options:
1) (-11 ,2)
2) (-11 ,-2)
3) (11 ,-2)
4) (11 ,2)
Correct Answer: (-11 ,2)
Question:18)What is the reflection of the point (5 , -1) in the line y = 2?[18-AUG-2017 Shift-2]
Options:
1) (5, -5)
2) (-5, -5)
3) (5, 5)
4) (-5, 5)
Correct Answer: (5, 5)
Question:19) In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?[18-AUG-2017 Shift-2]
Options:
1) 1 : 2
2) 1 : 1
3) 3 : 1
4) 2 : 3
Correct Answer: 1 : 1
Question:20) What is the slope of the line 2x – 5y = 12?[18-AUG-2017 Shift-2]
Options:
1) 2/5
2) 5/2
3) -2/5
4) -5/2
Correct Answer: 2/5
Question:21) What is the reflection of the point (-3, 1) in the line x = -2?[18-AUG-2017 Shift-3]
Options:
1) (-1 , 1)
2) (-3 , -5)
3) (1 , 1)
4) (-3 , 5)
Correct Answer: (-1 , 1)
Question:22)The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?[18-AUG-2017 Shift-3]
Options:
1) (-2 , 5)
2) (2 , 5)
3) (-2 , -5)
4) (2 , -5)
Correct Answer: (-2 , 5)
Question:23) If ax – 4y = -6 has a slope of -3/2. What is the value of a?[18-AUG-2017 Shift-3]
Options:
1) 6
2) 3
3) -6
4) -3
Correct Answer: -6
Question:24) What is the reflection of the point (4, -3) in the line y = -2?[19-AUG-2017 Shift-1]
Options:
1) (4, 1)
2) (-4, 1)
3) (-4, -1)
4) (4, -1)
Correct Answer: (4, -1)
Question:25)The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?[19-AUG-2017 Shift-1]
Options:
1) -7
2) 7
3) 6
4) -6
Correct Answer: 7
Question:26) What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?[19-AUG-2017 Shift-1]
Options:
1) 3x – 5y = 15
2) 3x + 5y = 15
3) 3x – 5y = -15
4) 3x + 5y = -15
Correct Answer: 3x – 5y = 15
Question:27) What is the reflection of the point (2, 3) in the line y = 4?[19-AUG-2017 Shift-2]
Options:
1) (2, 5)
2) (2, -5)
3) (-2, -5)
4) (-2, 5)
Correct Answer: (2, 5)
Question:28)Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?[19-AUG-2017 Shift-2]
Options:
1) 1
2) -1
3) 2
4) -2
Correct Answer: 1
Question:29) What is the equation of a line having a slope -1/3 and y-intercept equal to 6?[19-AUG-2017 Shift-2]
Options:
1) x + 3y = 18
2) x – 3y = 6
3) x + 3y = -18
4) x – 3y = -6
Correct Answer: x + 3y = 18
Question:30) What is the reflection of the point (5, -2) in the line x = -1?[19-AUG-2017 Shift-3]
Options:
1) (-7 , -2)
2) (5 , 0)
3) (7 , -2)
4) (5 , 2)
Correct Answer: (-7 , -2)
Question:31)Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?[19-AUG-2017 Shift-3]
Options:
1) (4 , 3)
2) (4 , 5)
3) (2 , 5)
4) (3 , 5)
Correct Answer: (4 , 5)
Question:32) What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?[19-AUG-2017 Shift-3]
Options:
1) -3
2) -1/3
3) 3
4) 1/3
Correct Answer: 3
Question:33)What is the reflection of the point (3,-5) in the origin?[20-AUG-2017 Shift-1]
Options:
1) (-3, -5)
2) (5,-3)
3) (-5,-3)
4) (-3, 5)
Correct Answer: (-3, 5)
Question:34)Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?[20-AUG-2017 Shift-1]
Options:
1) (6, 4)
2) (8, 2)
3) (1,-2)
4) (-6, -2)
Correct Answer: (8, 2)
Question:35)What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?[20-AUG-2017 Shift-1]
Options:
1) 4/3
2) 3/4
3) -3/4
4) -4/3
Correct Answer: 4/3
Question:36) What is the reflection of the point (3, 2) in the line y = -2?[20-AUG-2017 Shift-2]
Options:
1) (-7 , 2)
2) (-3 , -6)
3) (-7 , -2)
4) (3 , -6)
Correct Answer: (3 , -6)
Question:37)What is the distance between the points (3 , 6) and (-2 , -6)?[20-AUG-2017 Shift-2]
Options:
1) 15
2) 13
3) 11
4) 12
Correct Answer: 13
Question:38) What is the equation of a line which has 3 as x-intercept and -5 as y-intercept?[20-AUG-2017 Shift-2]
Options:
1) 3x – 5y = 15
2) 5x – 3y = 15
3) 5x + 3y = 15
4) 3x + 5y = 15
Correct Answer: 5x – 3y = 15
Question:39) What is the reflection of the point (-0.5, 6) in the x-axis?[20-AUG-2017 Shift-3]
Options:
1) (0.5, -6)
2) (-6, -0.5)
3) (6, -0.5)
4) (-0.5, -6)
Correct Answer: (-0.5, -6)
Question:40) In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?[20-AUG-2017 Shift-3]
Options:
1) 1 : 4
2) 4 : 1
3) 1 : 2
4) 2 : 1
Correct Answer: 1 : 4
Question:41)At what point does the line 2x – 3y = 6 cuts the Y axis?[20-AUG-2017 Shift-3]
Options:
1) (0, 2)
2) (-2, 0)
3) (2, 0)
4) (0, -2)
Correct Answer: (0, -2)
Question:42) ΔABC is similar to ΔPQR. If ratio of perimeters of ΔABC and ΔPQR is 3:7 and if PQ = 21 cm, then the length of AB (in cm) is?
Options:
1) 6
2) 14
3) 9
4) 18
Correct Answer: 9
Question:43) Δ ABC is right angled at B. If m∠A = 30o, what is the length of AB (in cm), if AC = 10 cm?
Options:
1) 5
2) 5√3
3) 10√3
4) 10
Correct Answer: 5√3
Question:44) ∆ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?
Options:
1) 8
2) 4
3) 8/√3
4) 8√3
Correct Answer: 8√3
Question:45) ΔABC is similar to ΔPQR. If ratio of perimeters of ΔABC and ΔPQR is 3:7 and if PQ = 21 cm, then the length of AB (in cm) is?[21-AUG-2017 Shift-1]
Options:
1) 6
2) 14
3) 9
4) 18
Correct Answer: 9
Question:46) Δ ABC is right angled at B. If m∠A = 30o, what is the length of AB (in cm), if AC = 10 cm?[21-AUG-2017 Shift-2]
Options:
1) 5
2) 5√3
3) 10√3
4) 10
Correct Answer: 5√3
Question:47) ∆ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?[21-AUG-2017 Shift-3]
Options:
1) 8
2) 4
3) 8/√3
4) 8√3
Correct Answer: 8√3
Question:48)AB is a diameter of the circle with centre O , CD is chord of the circle , If ∠BOC = 120° , then the value of ∠ADC is?[30 August 2016- Afternoon Shift]
Options:
1) 42°
2) 30°
3) 60°
4) 35°
Correct Answer: 30°
Question:49)PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:[27 August 2016- Morning Shift]
Options:
1 ) 3 cm
2 ) 16/3 cm
3 )23/3 cm
4 ) 25/3 cm
Correct Answer: 25/3 cm
Question:50).A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is
Options:
1) 30°
2) 45°
3) 60°
4) 75°
Correct Answer: 30°
Question:51).ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is?[2 September 2016- Morning Shift]
Options:
1) 12 sq cm
2) 3 sq cm
3) 6 sq cm
4) 5 sq cm
Correct Answer: 6 sq cm
Question:52) PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ΔMQN is 48cm2 , then what is the length (in cm) of PR ? [11-AUG-2017 Shift-2]
Options:
1) 12√2
2) 12
3) 24
4) 24√2
Correct Answer: 24√2
Question 53 )
Options:
1) 9
2) 12
3) 15
4) 18
Correct Answer: 15
Question 54 )
Options:
1) 23
2) 37
3) 47
4) 57
Correct Answer: 47
Question 55 )
Options:
1) 34
2) 51
3) 68
4) 85
Correct Answer: 51
Question:56)In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?[11-AUG-2017 Shift-3]
Options:
1) 5
2) 6
3) 6.5
4) 6√2
Correct Answer: 6.5
Question:57) If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?[11-AUG-2017 Shift-3]
Options:
1) 1 : 1
2) 2 : 1
3) 3 : 1
4) √2 : 1
Correct Answer: 1 : 1
Question:58)The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?[11-AUG-2017 Shift-3]
Options:
1) 6√3
2) 8√3
3) 9
4) 9√3
Correct Answer: 9√3
Question:59) P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?[11-AUG-2017 Shift-3]
Options:
1) 1.5
2) 2
3) 2.5
4) 3
Correct Answer: 2.5
Question:60)The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?[12-AUG-2017 Shift-1]
Options:
1) 6
2) 9
3) 12
4) 18
Correct Answer: 12
Question 61)
Options
1) 40
2) 60
3) 80
4) 120
Correct Answer: 40
Question:62) If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?[12-AUG-2017 Shift-1]
Options:
1) 2√2
2) 3√2
3) 2√3
4) 3√3
Correct Answer: 2√3
Question:63) If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?[12-AUG-2017 Shift-1]
Options:
1) 125√3
2) 147√3
3) 156√3
4) 169√3
Correct Answer: 147√3
Question:64)In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?[12-AUG-2017 Shift-2]
Options:
1) 107.5
2) 112.5
3) 117.5
4) 122.5
Correct Answer: 112.5
Question:65) In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?[12-AUG-2017 Shift-2]
Options:
1) 30
2) 36
3) 45
4) 60
Correct Answer: 30
Question 66)
Options:
1) 2.5
2) 3
3) 4.5
4) 5
Correct Answer: 2.5
Question 67)
Options:
1) 144
2) 216
3) 256
4) 288
Correct Answer: 144
Question:68)The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?[12-AUG-2017 Shift-3]
Options:
1) 36
2) 48
3) 76
4) 84
Correct Answer: 76
Question:69) O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?[12-AUG-2017 Shift-3]
Options:
1) 60
2) 80
3) 90
4) 100
Correct Answer: 80
Question:70) In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?[12-AUG-2017 Shift-3]
Options:
1) 18
2) 28
3) 32
4) 36
Correct Answer: 36
Question:71) In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR ?[12-AUG-2017 Shift-3]
Options:
1) 36
2) 54
3) 72
4) 216
Correct Answer: 54
Question:72) The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?[16-AUG-2017 Shift-1]
Options:
1) 5
2) 10√3
3) 20
4) 20√3
Correct Answer: 20
Question:73)The point of intersection of all the angle bisector of a triangle is ______ of the triangle.[16-AUG-2017 Shift-1]
Options:
1) Incenter
2) Circumcenter
3) Centroid
4) Orthocenter
Correct Answer: Incenter
Question:74) ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?[16-AUG-2017 Shift-1]
Options:
1) 90
2) 120
3) 135
4) 145
Correct Answer: 120
Question:75) In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?[16-AUG-2017 Shift-1]
Options:
1) 150
2) 200
3) 210
4) 240
Correct Answer: 150
Question 76)
Options:
1) 10
2) 60
3) 100
4) 170
Correct Answer: 100
Question-77 )
Options:
1) (2√5)/3
2) (3√2)/5
3) (3√5)/2
4) (2√3)/5
Correct Answer: (3√5)/2
Question:78)ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?[16-AUG-2017 Shift-2 ]
Options:
1) 1876
2) 90
3) 1785
4) 1786
Correct Answer: 1785
Question:79)
Options:
1) 15
2) 18
3) 20
4) 21
Correct Answer: 18
Question:80) PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?[16-AUG-2017 Shift-3]
Options:
1) 55
2) 60
3) 70
4) 90
Correct Answer: 70
Question:81)What is the reflection of the point (1 , 2) in the line y = 3?[17-AUG-2017 Shift-1]
Options:
1) (1, -4)
2) (1, 4)
3) (-1, -4)
4) (-1, 4)
Correct Answer: (1, 4)
Question:82) Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?[17-AUG-2017 Shift-1]
Options:
1) 8
2) -7
3) -8
4) 7
Correct Answer: 7
Question:83) At what point does the line 2x + 5y = -6 cuts the X-axis?[17-AUG-2017 Shift-1]
Options:
1) (3, 0)
2) (0, 3)
3) (-3, 0)
4) (0, -3)
Correct Answer: (-3, 0)
Question:84) ΔABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?[17-AUG-2017 Shift-1]
Options:
1) 6
2) 18
3) 21
4) 12
Correct Answer: 12
Hope you find the Geometry question useful. Please share to help others.