Trigonometric Functions

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)

The value of n is .

Let f: R R be a function defined by f(x)= cases x2 ( x2 ), & if x 0,\ 0, & if x=0. cases Then which of the following statements is TRUE?

1. f(x)=0 has infinitely many solutions in the interval [ 11010, ).
2. f(x)=0 has no solutions in the interval [ 1 , ).
3. The set of solutions of f(x)=0 in the interval (0, 11010 ) is finite.
4. f(x)=0 has more than 25 solutions in the interval ( 1 2, 1 ).