IIT-JEE Exam

A straight line L through the point (3, -2) is inclined at an angle 60° to the line sqrt(3x) + y = 1. If L also
intersects the x-axis, then the equation of L is

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IIT-JEE Other Question

Let = ˆ + ˆ + ˆ , = ˆ + ˆ + ˆ

a i j k b i j k and = ˆ - ˆ - ˆ
c i j k be three vectors. A vector
v
in the plane of

a and b , whose
projection on
c
is 1/sqrt3 is given by Let the straight line x = b divides the area enclosed by y = (1 - x)^2, y = 0 and x = 0 into two parts R1(0 £ x
£ b) and R2(b £ x £ 1) such that R1 - R2 =1/4 then b equals