Geometry (Part-11)

Total Questions: 50

11. In ∆ABC, DE || BC in such a way that A-D-B and A - E - C. If m ∠ACB = 40º, then m ∠DAE +m ∠ADE= ______ . [SSC CPO 09/11/2022 (Morning)]

Correct Answer: (c) 140°
Solution:

12. If two tangents to a circle of radius 3 cm are inclined to each other at angle of 60°, then the length of each tangent is: [SSC CPO 09/11/2022 (Afternoon)]

Correct Answer: (b)
Solution:

13. In the given figure, the circle with centre O has radius 10 cm. The radius of the circle with centre P is x. STR is a common tangent to the two circles at points R and S as shown in the figure. RT 16 cm and TS = 24 cm. What is the value of x (in cm)? [SSC CPO 09/11/2022 (Evening)]

Correct Answer: (a) 15
Solution:

14. In the given circle with diameter AB, find the value of X. [SSC CPO 10/11/2022 (Afternoon)]

Correct Answer: (a) 40°
Solution:

15. If the arc of a circle of radius 30 cm has a length of 19 cm, then the angle (in degrees, rounded off to two decimal places) subtended at the centre of the circle is: (Take π = 22/7) [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (c) 36.27
Solution:

16. If the hypotenuse of an isosceles right-angled triangle is 10 cm, then the other two sides (in cm) are_______ . [SSC CPO 11/11/2022 (Evening)]

Correct Answer: (d) 5√2 and 5√2
Solution:

17. ABC is an isosceles right angle triangle. ∠ABC = 90º and AB = 12 cm. What is the ratio of the radius of the circle inscribed in it to the radius of the circle circumscribing triangle ABC ? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (b) 2-√2 : √2
Solution:

18. ABC is a right angle triangle and angle ABC 90 degrees. BD is a perpendicular on the side AC. what is the value of BD² ? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (a) AD × DC
Solution:

19. ABC and PQR are two triangles. AB = PQ = 6 cm, BC = QR = 10 cm and AC = PR = 8 cm. If angle ABC = x degrees, then what is the value of angle PRQ? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) (90-x) degree
Solution:

20. x, y and z are the sides of a triangle. If z is the largest side and x² + y² > z² then the triangle is a : [SSC CGL Tier II (08/08/2022)]

Correct Answer: (b) Acute angled triangle
Solution:x² + y² > z², where z is the longest side and x, y are the two smaller sides.
The triangle formed here is an acute angle angled triangle as the square of the longest side is less than the sum of the squares of the two smaller sides.