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Question 1
If , then
Question 2
The curve represented by |z| = Re(z) + 2 is
Question 3
Let A, B, C represent the complex numbers z1, z2, z3 respectively on the complex plane. If the circumcentre of the triangle ABC lies at the origin, then the orthocentre is represented by the complex number
Question 4
If and A and B are the points in Argand’s plane representing the complex numbers z1 and z2 respectively, then
Question 5
If z=3+4i then the modulus of is
Question 6
Two straight lines are mutually perpendicular if
Question 7
If |z1| = |z2| = |z3| =1 and z1 + z2 +z3 = 0 , then area of triangle formed by the points whose vertices are given by z1, z2, and z3 is
Question 8
If and are 2 pairs of complex conjugate numbers, then
equals :
equals :
Question 9
The point represented by 2+i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2√2 units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by
Question 10
If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r)a + rb and w = (1 – r) u + rv, where r is a complex number, then the two triangles-
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Nov 19JEE & BITSAT