Geometry (Part-9)

Total Questions: 50

11. In a ∆ABC, if ∠A = 90º AC = 5cm, BC = 9 cm and in ∆PQR, ∠P = 90º, PR = 3 cm, QR = 8 cm, then: [SSC CGL 18/07/2023 (4th shift)]

Correct Answer: (b) ∆ABC ≇ ∆PQR
Solution:

12. Explain it- [SSC CGL 19/07/2023 (1st shift)]

Correct Answer: (c) 60
Solution:

13. What is the number of common tangents that can be drawn to two circles that touch each other externally? [SSC CGL 19/07/2023 (3rd shift)]

Correct Answer: (c) 3
Solution:

14. If ∆ABC ~ ∆PQR, AB = 4cm, PQ = 6 cm, QR = 9 cm and RP = 12cm, then find the perimeter of ∆ABC. [SSC CGL 19/07/2023 (3rd shift)]

Correct Answer: (a) 18 cm
Solution:

15. Which of the following is a FALSE statement? [SSC CGL 20/07/2023 (2nd shift)]

Correct Answer: (b) The angle formed by any side at the incentre is always 90° more than the angle at the opposite vertex.
Solution:

16. In the given figure, ∆QPS ≅ ∆SRQ Find the measure of ∠PSR. [SSC CGL 21/07/2023 (1st shift)]

Correct Answer: (b) 74°
Solution:

17. In the given figure, PQ is a chord passing through the centre 'O' of the circle. Calculate ∠PQS. [SSC CGL 21/07/2023 (4th shift)]

Correct Answer: (c) 20°
Solution:

18. The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length (in cm) of PL is: [SSC CGL 24/07/2023 (3rd shift)]

Correct Answer: (a) 2√3
Solution:

19. In the given ∆ABC, DE II BC. If BC = 8 cm, DE = 6 cm and area of ∆ADE = 90 cm² then what is the area (in cm²) of ∆ABC? [SSC CGL 24/07/2023 (4th shift)]

Correct Answer: (c) 160
Solution:

20. Explain it- [SSC CGL 25/07/2023 (1st shift)]

Correct Answer: (d) Length of an arc
Solution: