Practice questions
88551 published questions with worked solutions.
- If the complex numbers z_1,z_2,z_3 satisfying z_1-z_3 z_2-z_3 = 1-i 3 2, then triangle is
- If (z-a)= 4, where a R, then the locus of z C is
- If |z^2-1 |=|z|^2+1, then z lies on
- If |z+8|+|z-8|=16, where z is a complex number, then the point z will lie on
- Solution of the equation 4 9^ x-1 =3 2^ 2x+1 is
- The greatest number among [3]9, [4] 11 , [6] 17 is
- Given that a,b 0,1,2, ,9 with a+b 0 and that (a+ b 10 )^x= ( a 10 + b 100 )^y=1000. Then 1x- 1y is equal to
- If x,y,z are in GP and a^x=b^y=c^z, then
- If _e ( a+b 2 )= 12 ( _ea+ _eb ), then
- If a= _23, b= _25, c= _72, then _ 140 63 in terms of a,b,c is
- If _ 3 5=a and _ 3 2=b, then _ 3 300 is equal to
- If _2 [ _3 _4 ( _5x ) ]=0, then the value of x is
- The value of _35 _ 25 27 _ 49 7 _ 81 3 is
- The value of _220 _280- _25 _2320 is equal to
- The approximate value of [3] 28 is
- The solution set of the equation [4 (1- 13+ 19- 1 27 + ) ]^ _2x = [54 (1+ 13+ 19+ 1 27 + ) ]^ _x2 is
- If x= _abc, y= _bca, z= _cab, then the value of 1 1+x + 1 1+y + 1 1+z will be
- The value of _2 _2 _4256+2 _ 2 2 is
- If a,b,c 0 and belongs to the set 0,1,2,3, ,9 , then _ 10 ( a+10b+10^2c 10^ -4 a+10^ -3 b+10^ -2 c ) is equal to
- 7^ 2 _75 is equal to