Mathematics questions
18011 published questions with worked solutions.
- The value of 4 ( 75^ +i 75^ ) 0.4 ( 30^ +i 30^ ) is
- If z_1,z_2,z_3,z_4 are four complex numbers represented by the vertices of a quadrilateral taken in order such that...
- If the vertices of a quadrilateral be A=1+2i, B=-3+i, C=-2-3i and D=2-2i, then the quadrilateral is
- If a= ( 2 7 )+i ( 2 7 ), then the quadratic equation whose roots are =a+a^2+a^4 and =a^3+a^5+a^6 is
- The maximum distance from the origin of coordinates to the point z satisfying the equation |z+ 1z |=a is
- The centre of a regular polygon of n sides is located at the point z=0 and one of its vertex z_1 is known. If z_2 be the vertex...
- In the argand plane, the complex number z=4-3i is turned in the clockwise sense through 180^ and stretched three times. The...
- Let _n= ( 2 n )+i ( 2 n ), i^2=-1, then (x+y _3+z _3^2 ) (x+y _3^2+z _3 ) is equal to
- If |z|= |z-2|,|z+2| , then
- If A(z_1), B(z_2) and C(z_3) be the vertices of a triangle ABC in which ABC= 4 and AB BC = 2, then the value of z_2 is equal to
- The area of the triangle whose vertices are represented by the complex number 0, z, ze^ i , (0< < ) equalsNot in JEE syllabus
- If a= +i , b= +i , c= +i and bc+ ca+ ab=1, then ( - )+ ( - )+ ( - ) is equal to
- If z is a complex number, then ( z^ -1 )( z) is equal to
- If and are different complex numbers with | |=1 then | - 1- | is equal to
- The value of 1+i^2+i^4+i^6+ +i^ 2n is
- Let z be a complex number and a be a real parameter such that z^2+az+a^2=0, then
- If z_1 and z_2 are two nth roots of unity, then ( z_1 z_2 ) is a multiple of
- If z is a complex number, then |3z-1|=3|z-2| represents
- If the imaginary part of the expression z-1 e^ i + e^ i z-1 be zero, then the locus of z is
- 1-c^2 =nc-1 and z=e^ i , then c 2n (1+nz) (1+ nz ) is equal to