IIT-JEE Exam

A man walks a distance of 3 units from the origin towards the north-east (N 45° E) direction. From there, he walks a
distance of 4 units towards the north-west (N 45° W) direction to reach a point P. Then the position of P in the Argand
plane is

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IIT-JEE Other Question

The tangent to the curve y = ex drawn at the point (c, ec) intersects the line joining the points (c − 1, ec−1) and
(c + 1, ec+1)
(A) on the left of x = c (B) on the right of x = c
(C) at no point (D) at all points The number of solutions of the pair of equations
2 sin^2θ − cos^2θ = 0
2 cos^2θ − 3 sinθ = 0
in the interval [0, 2π] is
(A) zero (B) one
(C) two (D) four