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# SSC CGL Quantitative Aptitude : 13th February 2020 for Geometry and Coordinate Geometry

In Today's Maths Quiz we are providing latest pattern questions based on the topics of Geometry and Coordinate Geometry

| Updated On February 19th, 2020 at 02:47 pm

Q1. AD is the internal bisector of of triangle ABC and meets side BC at D. If BD = 5 cm, BC = 7.5 cm than AB : AC is
(a) 2:1
(b) 3 : 1
(c) 1 :3
(d) 2:3

S2. In Î”ABC, âˆ BCA = 90Â°, AC = 24 cm and BC = 10 cm. What is the radius (in cm) of the circum-circle of Î”ABC?
(a) 12.5
(b) 13
(c) 25
(d) 26

S3. A chord of length 7 cm subtends an angle of 60Â° at the centre of a circle. What is the radius (in cm) of the circle?
(a) 7âˆš2
(b) 7âˆš3
(c) 7
(d) 14

S4. The distance between the centres of two circles of radius 9 cm and 6 cm is 17 cm. What is the length (in cm) of the transverse common tangent?
(a) 9
(b) 11
(c) 7
(d) 8

S5. The length of the direct common tangent of two circles of radius 8 cm and 3 cm is 12 cm. What is the distance (in cm) between the centres of the circles?
(a) 15
(b) 13
(c) 14
(d) 17

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S6. Î”PQR is a right-angled at Q. If PQ = 8 cm and PR = (QR + 2) cm. What is the value (in cm) of PR?
(a) 17
(b) 15
(c) 19
(d) 18

S7. In the given figure, O is the center of the circle. If âˆ POR = 130o, then what is the value (in degree) of âˆ S and âˆ Q respectively.

(a) 65, 115
(b) 55, 125
(c) 60, 120
(d) 65, 120

S8. âˆ PQR is a triangle in which PR = QR. Side PR is extended to S, such that QR = RS. If âˆ QPR = 40o, then what is the value (in degrees) of âˆ QSR?
(a) 45
(b) 50
(c) 55
(d) 41

S9. If Î”PQR is right angled at Q, PQ = 12 and âˆ PRQ = 30Â°, then what is the value of QR?
(a) 12âˆš3
(b) 12âˆš2
(c) 12
(d) 24

S10. In the given figure, AC and DE are perpendicular to tangent CB. AB passes through center O of the circle whose radius is 20 cm. If AC= 36 cm, what is the length (in cm) of DE ?

(a) 4
(b) 6
(c) 2
(d) 8

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