Practice questions
88551 published questions with worked solutions.
- The solution set of the inequation |x+ 1x |<4, is
- The set of all integral values of x for which 5x-1<(x+1)^2<7x-3, is
- The solution set of the inequation |2x-3|<|x+2|, is
- If | x^2+6 5x | 1, then x belongs to
- The set of real values of x for which 10x^2+17x-34 x^2+2x-3 <8, is
- The number of integral solutions of x+1 x^2+2 > 14, is
- The solution set of the inequation 1 |x|-3 < 12, is
- The solution set of the inequation x^2+(a+b)x+ab<0, a<b, is
- The solution set of the inequation x^2-3x+4 x+1 >1, x R, is
- The solution set of x^2+x+|x|+1<0, is
- If z=x+iy, then the equation | 2z-1 z+1 |=m does not represent a circle when m=
- The equation bz+b z=c, where b is a non-zero complex constant and c is a real number, represents
- If P,P' represent the complex number z_1 and its additive inverse respectively, then the equation of the circle with PP' as a...
- If z_0= 1-i 2, then the value of the product (1+z_0) (1+z_0^2 ) (1+z_0^ 2^2 ) (1+z_0^ 2^3 ) (1+z_0^ 2^n ) must be
- If , , are the cube roots of p, p<0 then for any x,y and z the values of x +y +z x +y +z are
- Number of solutions of the equation z^2+|z|^2=0, where z C is
- Let z( 2) be a complex number such that _ 1/2 |z-2|> _ 1/2 |z|, then
- Find the complex number z satisfying the equations | z-12 z-8i |= 53, | z-4 z-8 |=1
- If 1, , ^2, , ^ n-1 are the n, n^ th roots of unity and z_1 and z_2 are any two complex numbers, then _ r=0 ^ n-1 |z_1+ ^rz_2 |^2=
- If z_n= n(n+1)(n+2) +i n(n+1)(n+2) for n=1,2,3, , then the valu of (z_1z_2 z_n) is