The equation `(x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5)` for `x in (-2,3)` will have number of solutions. a.`1` b. `2` c. `3` d. 0

Find the number of solutions of equation (2x-3)2^x=1

Solve : (2x^2 - 3x+1) (2x^2 + 5x + 1) = 9x^2 .

For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real solution is (A)1 (B) 2 (C) 0 (D) oo

If f(x)= |1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then f(500) is equal to 0 b. 1 c. 500 d. -500

The equation (x+3-4(x-1)^(1//2))^(1//2)+(x+8-6(x-1)^(1//2))^(1//2)=1 has (A) no solution (B) only 1 solution (C) only 2 solutions (D) more than 2 solutions

The number of solution of x^(log)x(x+3)^2=16 is a)0 (b) 1 (c) 2 (d) oo

If cos(x+pi/3)+cos x=a has real solutions, then (a) number of integral values of a are 3 (b) sum of number of integral values of a is 0 (c) when a=1 , number of solutions for x in [0,2pi] are 3 (d) when a=1, number of solutions for x in [0,2pi] are 2

Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2x],[tan^(-1)2x,tan^(-1)3x,tan^(-1)x]| =0 , then the number of values of x satisfying the equation is (a) 1 (b) 2 (c) 3 (d) 4

Divide (2x^(2) + x-3)/((x-1)^(2)) " by " (2x^(2) + 5x +3)/(x^(2)-1)

The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x^2-5x+3)=-3/2 is (a) 4 b. 0 c. 1 d. 2