IIT-JEE Exam

Consider the planes 3x - 6y - 2z = 15 and 2x + y - 2z = 5.
STATEMENT -1 : The parametric equations of the line of intersection of the given planes are
x = 3 + 14t,
y = 1 + 2t, z = 15t
because
STATEMENT -2 : The vectors 14i + 2j +15k is parallel to the line of intersection of the given planes.
(A) Statement -1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True

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IIT-JEE Other Question

Let f(x) = 2 + cosx for all real x.
STATEMENT -1 : For each real t, there exists a point c in [t, t + i] such that f(c) = 0.
because
STATEMENT -2 : f(t) = f(t + 2i) for each real t.

(A) Statement -1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True Lines L1 : y - x = 0 and L2 : 2x + y = 0 intersect the line L3 : y + 2 = 0 at P and Q, respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R.
STATEMENT -1 : The ratio PR : RQ equals 2 2 : 5.
because
STATEMENT -2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.
(A) Statement -1 is True, Statement -2 is true; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True