Mathematics questions
18011 published questions with worked solutions.
- If S= z C: ( z-2 z+2 )= 3 , then S is
- The locus of the point z=x+iy satisfying the equation | z-1 z+1 |=1 is given by
- If P,Q,R,S are represented by the complex numbers 4+i, 1+6i, -4+3i, -1-2i respectively, then PQRS is a
- The points z_1,z_2,z_3,z_4 in the complex plane are the vertices of a parallelogram taken in order, iff
- The points represent the complex numbers z, for which |z-a|^2+|z+a|^2=b^2 lie on
- If z=x+iy, then area of the triangle whose vertices are points z, iz, z+iz is
- The points representing complex number z for which |z-3|=|z-5| lie on the locus given by
- The radius of the circle | z-i z+i |=5 is given by
- A point P which represents a complex number z moves such that |z-z_1|=|z-z_2|, then its locus is
- 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