Geometry (Part-8)

Total Questions: 50

21. The largest chord of the circle is: [SSC CHSL 09/08/2023 (1st Shift)]

Correct Answer: (c) diameter
Solution:

Largest chord of the circle is diameter.

22. Explain it- [SSC CHSL 09/08/2023 (1st Shift)]

Correct Answer: (b) 4.8
Solution:

23. Let ABC and PQR be two congruent right-angled triangles such that ∠A = ∠P = 90°. If BC = 13 cm and PR = 12 cm, then find the length of AB. [SSC CHSL 09/08/2023 (2nd Shift)]

Correct Answer: (d) 5 cm
Solution:

24. ΔABC is an equilateral triangle. The side BC is produced to point D. If A joines D and BC = CD, then the degree measure of angle CAD is equal to: [SSC CHSL 09/08/2023 (3rd Shift)]

Correct Answer: (a) 30°
Solution:

25. The lengths of two parallel chords of a circle are 10 cm and 24 cm lie on the opposite sides of the centre. If the smaller chord is 12 cm from the centre, what is the distance (in cm) between the two chords? [SSC CHSL 09/08/2023 (4th Shift)]

Correct Answer: (c) 17
Solution:

26. In ΔABC, P and Q are the middle points of the sides AB and AC, respectively. R is point on the segment PQ such that PR: RQ = 1 : 3. If PR = 6 cm, then BC: [SSC CHSL 09/08/2023 (4th Shift)]

Correct Answer: (b) 48 cm
Solution:

PQ = (4x) × 6 = 24cm
Using mid-point theorem :-
BC = 2PQ = 48cm

27. In a circle of radius 8 units, a chord of length 10 units is drawn. What is the perpendicular distance of the chord from the centre of the circle in units? [SSC CHSL 10/08/2023 (2nd Shift)]

Correct Answer: (a) √39 Unit
Solution:

28. In a circle, an are subtends an angle of 84° at the centre. If the length of the arc is 22 cm, then the radius of the circle (in cm) is equal to: Take π = 22/7 [SSC CHSL 10/08/2023 (2nd Shift)]

Correct Answer: (b) 15
Solution:

29. In triangle STU, V is a point on the side ST and W is a point on the side SU such that VWUT is a trapezium. Given that VW : TU = 2 : 7, what is the ratio of area of trapezium VWUT to the area of the triangle STU? [SSC CHSL 10/08/2023 (2nd Shift)]

Correct Answer: (c) 45 : 49
Solution:

30. The sides of a triangle are 20 cm, 21 cm and 29 cm. The area of the triangle formed by joining the mid points of the sides of triangle will be: [SSC CHSL 10/08/2023 (3rd Shift)]

Correct Answer: (b)
Solution: