IIT-JEE Exam

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

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IIT-JEE Other Question

A 4.0 molar aqueous solution of NaCl is prepared and 500 mL of this solution is electrolysed. This leads to the evolution of
chlorine gas at one of the electrodes (atomic mass: Na = 23, Hg = 200; 1 Faraday=96500 coulombs)

The total number of moles of chlorine gas evolved is
(A) 0.5 (B) 1.0
(C) 2.0 (D) 3.0 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