IIT-JEE Exam

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

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IIT-JEE Other Question

A hyperbola, having the transverse axis of length 2 sinθ, is confocal with the ellipse 3x^2 + 4y^2 = 12. Then its equation is 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