The number of solutions of the matrix equation `X^(2) = I`
other than `I` is

The number of solutions of the equation |x-1|-|2x-5|=2x

The number of solutions of the matrix equation X^2=[[1, 1],[ 2, 3]] is (A) more than 2 (B) 2 (C) 0 (D) 1

Statement I The number of solution of the equation |sin x|=|x| is only one. Statement II |sin x| ge 0 AA x in R .

The differential equation y=px+f(p) , …………..(i) where p=(dy)/(dx) ,is known as Clairout's equation. To solve equation i) differentiate it with respect to x, which gives either (dp)/(dx)=0 rArr p =c ………….(ii) or x+f^(i)(p)=0 …………(iii) The number of solution of the equation f(x)=-1 and the singular solution of the equation y=x(dy)/(dx)+((dy)/(dx))^(2) is

Find all solutions of the matrix equation X^2=1, where 1 is the 2*2 unit matrix, and X is a real matrix,i.e. a matrix all of whose elements are real.

The number of solutions of the equation x_(1)+x_(2) + x_(3) + x_(4) + x_(5) = 101 , where x_(i)^(') s are odd natural numbers is :

The number of 2x2 matrices X satisfying the matrix equation X^2=I(Ii s2x2u n i tm a t r i x) is 1 (b) 2 (c) 3 (d) infinite

The solution of the equation |z|-z=1+2i is

Number of real solutions of the equation x ^(2) +3|x| + 2 =0 is: i) 0 ii) 2 iii) 3 iv) 4

The number of real solution of the equation sin^(-1) (sum_(i=1)^(oo) x^(i +1) -x sum_(i=1)^(oo) ((x)/(2))^(i)) = (pi)/(2) - cos^(-1) (sum_(i=1)^(oo) (-(x)/(2))^(i) - sum_(i=1)^(oo) (-x)^(i)) lying in the interval (-(1)/(2), (1)/(2)) is ______. (Here, the inverse trigonometric function sin^(-1) x and cos^(-1) x assume values in [-(pi)/(2), (pi)/(2)] and [0, pi] respectively)