Mathematics questions
18011 published questions with worked solutions.
- The equation z z+a z+ az+b=0, b R represents a circle, if
- If magnitude of a complex number 4-3i is tripled and is rotated anti-clockwise by an angle , then resulting complex number would...
- If | z+i z-i |= 3, then radius of the circle is
- If the area of triangle on the argand plane formed by the complex numbers -z, iz, z-iz is 600 sq. unit, then |z| is equal to
- The locus represented by the equation |z-1|=|z-i| is
- If z_1,z_2 and z_3 are any three complex numbers, then the fourth vertex of the parallelogram whose three vertices are z_1,z_2...
- The equation of the locus of z such that | z-i z+i |=2, where z=x+iy is a complex number, is
- The set C= z:z z+a z+ az+b=0, b R and b<|a|^2 is
- The locus of the points z which satisfy the condition ( z-1 z+1 )= 3 is
- 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