Trigonometric Functions · Question 2

Match each entry in List-I to the correct entry in List-II and choose the correct option.

1. (P) → (2), (Q) → (5), (R) → (3), (S) → (4)
2. (P) → (5), (Q) → (3), (R) → (2), (S) → (4)
3. (P) → (5), (Q) → (4), (R) → (1), (S) → (3)
4. (P) → (4), (Q) → (3), (R) → (2), (S) → (5)

Answer

(2) (P) → (5), (Q) → (3), (R) → (2), (S) → (4)

Solution

(P): 6x 2x, 4x 2x, so the sum 1; equality needs x = 0 or x = 0: x = - , - 2, 0, 2, → 5 → (5).

(Q): 6x = 2x x \0, 1\; in [- 2, 2 ]: x = - 2, 0, 2 → 3 → (3).

(R): 1 + x2 - (1 - 2x) = 12 2 2x + x - 2 = 0 x = -1 + 174 0.78 (other root < -1); two values of x in [- , ] → (2).

(S): 3(1 - x) - 3x = 3 3 x + 4 3x - 3 x = 0 3x = 0; x = 2, 3 2 → 4 → (4).

Answer: (B)