Statement–1 : If 0 < a < p/4, then the equation (x – sin a) (x – cos a) – 2 = 0 has both roots in (sin a, cos a)
Statement–2 : If f (a) and f (b) possess opposite signs then there exist at least one solution of the equation f (x) = 0 in open interval (a, b).
(a) Statement-1 is false, Statement-2 is true.
(b) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
(c) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
(d) Statement-1 is true, Statement-2 is false.
