Mathematics questions
18011 published questions with worked solutions.
- If z_1,z_2,z_3 are vertices of an equilateral triangle inscribed in the circle |z|=2 and if z_1=1+i 3, then
- If at least one value of the complex number z=x+iy satisfy the condition |z+ 2|= a^2-3a+2 and the inequality |z+i 2 |<a, then
- Area of the triangle formed by 3 complex numbers 1+i, i-1, 2i in the Argand plane is
- If z= ( 3 2+ i2 )^5+ ( 3 2- i2 )^5, then
- If (z_1z_2)=0 and |z_1|=|z_2|=1, then
- If +2 +3 = +2 +3 =0 and + + =0, then 3 +8 3 +27 3 =
- Let A(z_1),B(z_2),C(z_3) be the vertices of an equilateral triangle ABC in the Argand plane, then the number ( z_2-z_3...
- The triangle with vertices at the points z_1,z_2,(1-i)z_1+iz_2 is
- z^2+ z+ =0 ( , are complex numbers) has a real root, then
- If C^2+S^2=1, then 1+C+iS 1+C-iS is equal to
- If 2z_1 3z_2 is purely imaginary number, then | z_1-z_2 z_1+z_2 |^4 is equal to
- If for complex numbers z_1 and z_2, (z_1)- (z_2)=0, then |z_1-z_2| is equal to
- If , and are the roots of the equation x^4-1=0, then the value of a +b +c +d a +b +c +d + a +b +c +d a +b +c +d , is
- If z_1 and z_2 are two complex numbers such that | z_1-z_2 z_1+z_2 |=1, then
- If k>1, |z_1|<k and | k-z_1 z_2 z_1-kz_2 |=1, then
- The modulus of 2i - -2i is
- The least positive integer n for which ( 1+i 1-i )^n= 2 ^ -1 ( 1+x^2 2x ), where x>0, is
- If |z-i|=1 and (z)= , where 0< < 2, then - 2z equals
- The locus of z=i+2 i ( + 4 ) , where is parameter, is
- The number of solutions of the system of equations Re (z^2 )=0; |z|=2 is