Geometry

Total Questions: 50

31. A triangle PQR has three sides equal in measurement and if PM is perpendicular to QR, then which of following equality holds ? [SSC CHSL 04/08/2023 (2nd Shift)]

Correct Answer: (b) 3PQ² = 4PM²
Solution:

32. AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. If the distance between them is 2 cm, then the radius (in cm) of the circle is: [SSC CHSL 02/08/2023 (4th Shift)]

Correct Answer: (a)
Solution:

33. If the distance between the centres of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is : [SSC CHSL 02/08/2023 (2nd Shift)]

Correct Answer: (c) √63
Solution:

34. In △ABC , the straight line parallel to the side BC meets AB and AC at the points P and Q, respectively. If AP = QC the length of AB is 16 cm and the length of AQ is 4 cm, then the length (in cm) CQ is: [SSC CHSL 02/08/2023 (2nd Shift)]

Correct Answer: (c)
Solution:

35. The three sides of a triangle are 9, 24 and S units. Which of the following is correct? [SSC CHSL 02/08/2023 (1st Shift)]

Correct Answer: (a) 15 < S < 33
Solution:

36. If △ABC and triangle △DEF are congruent triangles, then which of the following is FALSE? [SSC CGL 24/07/2023 (3rd shift)]

Correct Answer: (a) The ratio of AC to DF is 2:1.
Solution:

37. The length of the common chord of two circles of radii 15 cm and 13 cm, whose centres are 14 cm apart, is: [SSC CGL 24/07/2023 (2nd shift)]

Correct Answer: (d) 24cm
Solution:

38. Explain it- [SSC CGL 21/07/2023 (1st shift)]

Correct Answer: (a) 10cm
Solution:

39. In a △ABC DE || BC, where D is a point on AB and E is a point on AC. If DE divides the area of △ABC into two equal parts, then DB: AB is equal to: [SSC CGL 20/07/2023 (4th shift)]

Correct Answer: (d) √2-1 : √2
Solution:

40. Explain it- [SSC CGL 20/07/2023 (1st shift)]

Correct Answer: (a) 1.5 r²
Solution: