Find the values of `a` if equation `1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi),` has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Find the values of x where function f(X)m = (sin x + cosx)(e^(x)) in (0,2pi) has point of inflection

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

If the equation cosx + 3cos(2Kx) = 4 has exactly one solution, then

The value of k if the equation 2cosx+cos2k x=3 has only one solution is 2 (b) 2 (c) sqrt(2) (d) 1/2

Let f(x)=x + 2|x+1|+2| x-1| . Find the values of k if f(x)=k (i) has exactly one real solution, (ii) has two negative solutions, (iii) has two solutions of opposite sign.