Mathematics (Solved Paper 2024 – II) (01 to 50)

Total Questions: 50

21. If 4sin⁻¹ x + cos⁻¹ x = π then what is sin⁻¹ x + 4cos⁻¹ x equal to?

Correct Answer: (3) 3π/2
Solution:

22. What is cot² (sec⁻¹) + tan² (cosec⁻¹ 3) equal to?

Correct Answer: (b) 11/24
Solution:

23. In a triangle ABC, a/(cos A) = b/(cos B) = c/(cos C)

What is the area of the triangle if a= 6cm ?

Correct Answer: (a) 9√3 square cm
Solution:

24. The of the equation 7x² - 6x + 1 = 0 are tan α and tan β, where 2α and 2β are the angles of a triangle. Which one of the following is correct?

Correct Answer: (c) The triangle is right-angled
Solution:

25. In a triangle ABC, <A = 75° and <B = 45° What is 2a - b equal to?

Correct Answer: (b) √2c
Solution:

26. What is the number of solutions of the equation cot 2x. cot 3x = 1 for 0 < x < π ?

Correct Answer: (c) Only five
Solution:

27. What is the general solution of cos¹⁰⁰ x - sin¹⁰⁰ x = 1 ?

Correct Answer: (a) nπ
Solution:

28. In a triangle ABC, tanA + tanB + tanC = k What is the value of cot A cot B cot C ?

Correct Answer: (b) 1/k
Solution:

29. What is sin12° sin 48°equal to?

Correct Answer: (c) √5 - 1)/8
Solution:

30. What is (cos 17° - sin 17°)/(cos 17° + sin 17°) equal to?

Correct Answer: (d) cot 62°
Solution: