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 sin^(6)x+cos^(6)x=a , has a real solution if

The equation pi^(x)=-2x^(2)+6x-9 has (A) no solution (B) one solution (C) two solutions (D) infinite 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 log_(x^(2))16+log_(2x)64=3 has (a) one irrational solution (b) no prime solution two real solutions (d) no integral solution

The equation sin^(6)x+cos^(6)x=a^(2) has real solutions if

Find the values of a for which the equation x^(4)+(1-2a)x^(2)+a^(2)-1=0(A) has no real solutions (B) has one real solution (C) has two distinct real solutions (D) has three real solutions(E) has four distinct real solutions

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^(-1)x - 3sin^(-1)a =0 has real solutions for x if