IIT-JEE Exam

Let L be a normal to the parabola y^2 = 4x. If L passes through the point (9, 6), then L is given by
(A) y - x + 3 = 0 (B) y + 3x - 33 = 0
(C) y + x - 15 = 0 (D) y - 2x + 12 = 0

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IIT-JEE Other Question
A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The
coefficient of friction between the block and the floor is 0.1. Initially the
block is at rest and the spring is un-stretched. An impulse is given to the
block as shown in the figure. The block slides a distance of 0.06 m and
comes to rest for the first time. The initial velocity of the block in m/s is
V = N/10. Then N is Let a = -ˆi - kˆ , b = -ˆi + j
 
and c = ˆi + 2ˆj+ 3kˆ 
be three given vectors. If r

is a vector such that r ´ b = c´ b
   
and r × a = 0  
, then the value of r × b
 
is