Geometry (Part-11)

Total Questions: 50

21. ΔΤΑΡ, ∠TAP = 60º TA = 6cm, AP = 8 cm. K is the midpoint of AP. A line form k is produced to meet TP at O such that ∠AKO = 120º. Find the length of OK. [Graduate Level 01/08/2022 (Shift - 4)]

Correct Answer: (a) 3 cm
Solution:

22. If AB is a chord of a circle with radius 5 units and C is a point on the circle such that ∠ACB = π/2, then the length of chord AB is: [Graduate Level 02/08/2022 (Shift - 3)]

Correct Answer: (a) 10 units
Solution:

Given, radius of the circle = 5 units
Theorem used :- When angles subtended at the circumference of a circle from the two end points of a chord is 90º, then that chord is act as the diameter of the circle.
Length of the chord AB = 2 × 5 = 10 units

23. Given that ∆MAN and ∆CPT are congruent to each other such that ∠M = 75, ∠N = 65, ∠A = 40, ∠C = x/2 ∠P= 6y + 16. Find the value of (x- 5y). [Graduate Level 04/08/2022 (Shift - 2)]

Correct Answer: (a) 130
Solution:

24. Observe the given figure and find the value of s. [Graduate Level 04/08/2022 (Shift - 4)]

Correct Answer: (b) 3
Solution:

25. Given that triangle ABC is congruent to triangle DEF. If AC = 11m, ED = 6m, EF = 15m, FDE = 85° and ∠ABC = 55°, then the perimeter of triangle ABC and ∠EFD are, respectively: [Higher Secondary 01/08/2022 (Shift - 3)]

Correct Answer: (b) 32 m, 40°
Solution:

26. The longest chord of a circle is equal to: [Higher Secondary 02/08/2022 (Shift-2)]

Correct Answer: (c) two times the radius
Solution:

The longest chord of a circle is the diameter itself
And diameter = 2 × radiius
So, the longest chord of a circle is equal to two times of radus.

27. In a triangle ABC, if the three sides are a = 5, b = 7 and c = 3 what is angle B? [SSC CHSL 24/05/2022 (Morning)]

Correct Answer: (a) 120°
Solution:

28. Explain it- [SSC CHSL 26/05/2022 (Afternoon)]

Correct Answer: (b) 2.5
Solution:

29. If the circumradius of an equilateral triangle is 18 cm, then the measure of its in-radius Is in (cm): [SSC CHSL 27/05/2022 (Morning)]

Correct Answer: (a) 9
Solution:

30. Find the area (in cm²) of the given quadrilateral ABCD. [SSC CHSL 31/05/2022 (Afternoon)]

Correct Answer: (d) 40
Solution: