Page 22 - ISC-12

Single Correct Choice Type Jai Baba Ki19

(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.
[JEE 2007]

89. 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
ˆ
ˆ
ˆ
STATEMENT-2: The vector 14i + 2j + 15k is parallel to the line of intersection of 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.

[JEE 2007]

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

[JEE 2007]

91. Lines L 1 : y − x = 0 and L 2 : 2x + y = 0 intersect the line L 3 : y + 2 = 0 at P and Q, respectively.
The bisector of the acute angle between L 1 and L 2 intersects L 3 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.
[JEE 2007]