Geometry (Part-9)

Total Questions: 50

21. When two circles of radii r₁ and r₂ have their centres at a distance d apart, then length of the common transverse tangent is: [SSC CGL 25/07/2023 (1st shift)]

Correct Answer: (d)
Solution:

22. The three sides of two triangles are 4, 5 and 6 cm. Select the INCORRECT statement. [SSC CGL 25/07/2023 (2nd shift)]

Correct Answer: (b) The area of the two triangles will be different.
Solution:

Three sides of two triangles are 4, 5 and 6 cm respectively.
So, The area of these triangles will always be same.
Hence, Option 'b' is incorrect.

23. In the following figure, the circles with centres D and B have radii 4 cm and x cm, respectively. AC is a tangent to both the circles. Find the value of x. [SSC CGL 25/07/2023 (4th shift)]

Correct Answer: (a) 6
Solution:

24. In the figure given below, PQ is the diameter of the circle with centre O. If ∠QOR = 100º then the measure of ∠PSR is: [SSC CGL 25/07/2023 (4th shift)]

Correct Answer: (c) 40°
Solution:

25. A circle of radius 4 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC = 12 cm, then the value of CB is: [SSC CGL 25/07/2023 (4th shift)]

Correct Answer: (d) 16 cm
Solution:

26. Which of the following sets of lengths (in cm) will give three sides of an obtuse-angled triangle? [SSC CGL 26/07/2023 (1st shift)]

Correct Answer: (a) 15, 62, 64
Solution:

27. In a triangle ABC, the three angles are x, y and y + 10. Also, 2x - 4y = 20º. Which type of triangle is ABC? [SSC CGL 26/07/2023 (3rd shift)]

Correct Answer: (d) Right-angled
Solution:

28. In the figure, AB = AD = 9 cm and AC = AE = 13 cm and BC = 15 cm. Find ED? [SSC CGL 27/07/2023 (1st shift)]

Correct Answer: (d) 15 cm
Solution:

29. If in acute angled triangle ABC, AL, BM and CN are the three altitudes of triangle ABC, then which of the following statements will be true? [SSC CGL 27/07/2023 (2nd shift)]

Correct Answer: (d) AL + BM + CN < AB + BC + CA
Solution:

As we know , Sum of the three altitudes of a triangle is always less than the sum of its side.
AL + BM + CN < AB + BC + CA

30. Select the correct statement about the properties of a triangle. [SSC CGL 27/07/2023 (3rd shift)]

Correct Answer: (c) The sum of two sides is always greater than the third side.
Solution:

The sum of two sides is always greater than the third side.