1.

Let F(x)= f(x)+g(x), G(x) = f(x) - g( x) and H(x)=(f( x))/( g(x))where f(x)= 1- 2 sin ^(2)x and g(x)=cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following If the solution of F(x)-G (x)=0 are x_1,x_2, x_3 --------- x_nWherex in [0,5 pi] then

Answer»

1)`x_(1), x_(2), x_(3) - - - - - x_(n)` are in A.P with COMMON DIFFERENCE `pi/4`
2)the no. of solutions of `F(X)-G(x)=0` is `10 AA x in [0, 5pi]`
3)the sum of all solutions of `F(x)-G(x) = 0` is `AA x in [0, 5pi]` is `25 pi`
4)b, c are true

Answer :D


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