Geometry (Part-6)

Total Questions: 50

1. In the given figure, O is the centre of the circle, AE is the diameter and ∠AOC = 100º. [SSC CHSL 04/07/2024 (1st Shift)]

The value of ∠CDE + ∠CEA is:

Correct Answer: (a) 90°
Solution:

2. There is a circle with a centre T and a radius of 8 cm. Two tangents KE and Kl are drawn from point K, which is 17 cm from the centre. The area of the quadrilateral TEKI is: [SSC CHSL 04/07/2024 (1st Shift)]

Correct Answer: (d) 120 sq.cm
Solution:

3. Solve it- [SSC CHSL 04/07/2024 (1st Shift)]

Correct Answer: (b) 12
Solution:

4. In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR : RQ = 1 : 5 If PR = 6 cm, then BC = _______ . [SSC CHSL 04/07/2024 (2nd Shift)]

Correct Answer: (a) 72 cm
Solution:

5. The measures of the three angles of a triangle are such that the smallest angle measures 42° less than the greatest angle, while the measure of the remaining angle is 24° more than the measure of the smallest angle. Find the measure of the smallest angle of the triangle. [SSC CHSL 04/07/2024 (2nd Shift)]

Correct Answer: (d) 38°
Solution:

6. In right triangle ABC with right angle at C, M is the mid - point of hypotenuse AB. C is joined to M and produced to a point D, such that DM = CM. Point D is joined to B. If CD = 10 cm, and BD = 6 cm, find the value of CM. [SSC CHSL 04/07/2024 (2nd Shift)]

Correct Answer: (b) 5 cm
Solution:

7. The centers of two circles of radii 25 cm and 35 cm are 80 cm apart. What is the ratio of the lengths of the transverse common tangent to the direct common tangent to these circles? [SSC CHSL 04/07/2024 (2nd Shift)]

Correct Answer: (b) 2 : 3
Solution:

8. A circle of diameter 26 cm has two equal chords of length 10 cm each, separated by a distance h cm. What is the value of h? [SSC CHSL 04/07/2024 (3rd Shift)]

Correct Answer: (c) 24
Solution:

9. In a triangle ABC, AB = AC. BC is extended to D such that CD = AB and the angle ADC is 30°. What are the angles of triangle ABC ? [SSC CHSL 04/07/2024 (4th Shift)]

Correct Answer: (a) 60°, 60°, 60°
Solution:

10. In a circle, O is the centre and AOB is the diameter. AT is a tangent to the circle. Line TB intersects the circle at Q. Given that ∠AOQ = 94 deg find angle ATQ . [SSC CHSL 04/07/2024 (4th Shift)]

Correct Answer: (b) 43°
Solution: