Geometry (Part-10)

Total Questions: 50

1. Circumference of a circle is 58π cm. There is a chord XY of length 42 cm in this circle. What is the distance of this chord XY from the centre? [SSC CHSL 15/03/2023 (2nd Shift)]

Correct Answer: (b) 20 cm
Solution:

distance of this chord XY from the center =20 cm

2. A circle is circumscribing a triangle whose sides are 30 cm, 40 cm and 50 cm. Find the circumference of the circle. [SSC CHSL 15/03/2023 (3rd Shift)]

Correct Answer: (b) 50π cm
Solution:

3. In ∆ΧΥΖ, points P, Q and R are points on the sides XY, YZ and XZ respectively ∠YXZ = 50 degree, XR = PR, ZR = QR and ∠RQZ = 80 degree. [SSC CHSL 16/03/2023 (1st Shift)]

What is the value of ∠PRQ?

Correct Answer: (a) 80°
Solution:

4. Distance of a chord JK from the centre is 7 cm. If the diameter of this circle is 50 cm, then what will be the length of the chord? (in cm) [SSC CHSL 16/03/2023 (1st Shift)]

Correct Answer: (c) 48
Solution:

5. Sum of the angles made by a chord XY at the centre and on the circumference of the circle is 270 degrees. If the radius of this circle is 24 cm, then what will be the length of this chord? (in cm) [SSC CHSL 16/03/2023 (2nd Shift)]

Correct Answer: (d) 48
Solution:

6. If PQ is a tangent of a circle (touches the circle at Q) with centre O and angle POQ is 75°, then what is the value of angle OPQ? [SSC CHSL 16/03/2023 (4th Shift)]

Correct Answer: (a) 15°
Solution:

7. Sides of a triangle are 9 cm, 6 cm and 5 cm. What is the value of circumradius of this triangle ? (in cm) [SSC CHSL 17/03/2023 (3rd Shift)]

Correct Answer: (c)
Solution:

8. In an equilateral triangle ABC, P is the centroid of this triangle. Side of ∆ABC is 16√3 cm. What is the distance of point P from side BC ? [SSC CHSL 17/03/2023 (4th Shift)]

Correct Answer: (a) 8 cm
Solution:

9. A is a point outside of a circle with centre O. AP and AQ are two tangents of the circle. If AP = a² + 14 and AQ = 239 then what is the value of a ? [SSC CHSL 20/03/2023 (1st Shift)]

Correct Answer: (c) 15
Solution:

10. Two medians NA and OB of ANOP intersect each other at C at right angles. If NA = 15 cm and OB = 15 cm, then what is the length of OA? (in cm) [SSC CHSL 20/03/2023 (2nd Shift)]

Correct Answer: (a) 5√5
Solution: