The equation `sin x=x^2+x+1` has (A) `one real solution (B) n real solution (C) more thanone real solution (D) two positive solutons

The equation 2cos^2(x/2)sin^2x=x^2+x^-2, 0ltxlepi/2 has (A) no real solution (B) one real solution (C) two real solutions (D) more than two rea solutions

The equation (log)_(x+1)(x- .5)=(log)_(x-0. 5)(x+1) has (A) two real solutions (B) no prime solution (C) one integral solution (D) no irrational solution

The equation |((1+x)^2,(1-x)^2,-(2+x^2)),(2x+1,3x,1-5x),(x+1,2x,2-3x)|+|((1+x)^2,2x+1,x+1),((1-x)^2,3x,2x),(1-2x,3x-2,2x-3)|=0 has has (a) no real solution (b) 4 real solutions (c) two real and two non-real solutions (d) infinite number of solutions, real or non-real

The equation sin^6x + cos^6x = a^2 has real solution then find the values of a

The equation 3^(-1)x-pix-pi/2=0 has one negative solution one positive solution no solution more than one solution

The equation (log)_2(2x^2)+(log)_2xdotx^((log)_x((log)_2x+1))+1/2log_4^2(x^4)+2^(-3(log)_(1/2)((log)_2x))=1 (a)has exactly one real solution (b)two real solutions (c)three real solutions (d) no solution

The equation sin x(sinx+cos x) = k has real solutions, where k is a real number. Then

If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have (a) no real solution (b) at least one real root in (-1,0) (c) at least one real root in (0,1) (d) none of these

If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no real solution at least one real root in (-1,0) at least one real root in (0,1) none of these

The equation (log)_2(2x^2)+(log)_2xdotx^((log)_x((log)_2x+1))+1/2log4 2(x^4)+2^(-3(log)_(1/2)((log)_2x))=1 has exactly one real solution two real solutions three real solutions (d) no solution