Practice questions
88551 published questions with worked solutions.
- If the complex numbers z_1,z_2,z_3 are in AP, then they lie on
- Match the statements of Column I with those in Column II. Column I: (A) The set of points z satisfying |z-i|z| |= |z+i|z| | is...
- The point (4,1) undergoes the following three transformations successively: (i) Reflection about the line y=x, (ii) Translation...
- The locus of the point z=x+iy satisfying | z-2i z+2i |=1 is
- If z is a complex number in the Argand plane, then the equation |z-2|^2+|z+2|^2=8 represents
- For three complex numbers 1-i,i,1+i which of the following is true?
- If Im ( z-1 2z+1 )=-4, then locus of z is
- If z_1=1+2i, z_2=2+3i, z_3=3+4i, then z_1,z_2,z_3 represents the vertices of a/an
- Let z_1,z_2 and z_3 be the affixes of the vertices of a triangle having the circumcentre at the origin. If z is the affix of its...
- The equation z= a+ r^2 z-a , r>0 represents
- The centre and the radius of the circle z z+(2+3i) z+(2-3i)z+12=0 are respectively
- 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