40.The number of solutions of `3^(x+y)=243` and `243^(x-y)=3` is: (a) `0` (b) `1` (c) `2` (d) infinite

The number of real solutions of y+y^(2)=sinx and y+y^(3)=cos^(-1)(cos x) is/are (a) 0 (b) 1 (c) 3 (d) infinite

Number of real solutions of sqrt(x)+sqrt(x-sqrt(1-x))=1 is (a) 0 (b) 1 (c) 2 (d) infinite

Number of real solutions of sqrt(2x-4)-sqrt(x+5)=1 is (a) 0 (b) 1 (c) 2 (d) infinite

The number of solutions of 12cos^3x-7cos^2x+4cosx=9 is (a) 0 (b) 2 (c) infinite (d) none of these

The number of solutions of te equation |2x^2-5x+3|+x-1=0 is (A) 1 (B) 2 (C) 0 (D) infinite

The number of real solutions of |2x-x^2-3|=1 is (a) 0 (b) 2 (c) 3 (d) 4

The number solution of the equation sgn(x^2)=|x-2| is (a)1 (b) 0 (c) 2 (d) 3

The number of solutions of 3^(|x|)=| 2-|x|| , is A. 0 B. 2 C. 4 D. infinite

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is (a).0 (b) 1 (c) 2 (d) infinite

The number of values of c such that the straight line y=4x+c touches the curve (x^2)/4+(y^2)/1=1 is (a) 0 (b) 1 (c) 2 (d) infinite