AIEEE Exam

The normal to the curve x = a(cosi + i sini), y = a(sini-i cosi) at any point "i" is such that
(1) it passes through the origin
(2) it makes angle 2i + i, with the x-axis
(3) it passes through a, a^2i
(4) it is at a constant distance from the origin

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AIEEE Other Question

If z1 and z2 are two non-zero complex numbers such that |z1+z2|=|z1|+|z2| then arg z1 arg z2 is equal to
option
a) 90
b) 180
c) -90
d) 0 If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sin A, sin B, sin C are in
option
a) A.p & G.p
b) H.p
c) g.p
d) A.p