Page 71 - ISC-12

Matching-List & Matching-Matrix Type Jai Baba Ki13

13. Match the following two lists:

List-I List-II

(A) A line from the origin meets the lines (p) −4
8
x −
x − 2 y − 1 z + 1 3 y + 3 z − 1
= = and = = at P
1 −2 1 2 −1 1
2
and Q respectively. If length PQ = d, then d is

(B) The values of x satisfying (q) 0

3
−1
−1
tan (x + 3) − tan (x − 3) = sin −1 are
5
~
~
(C) Non-zero vectors ~a, b and ~c satisfy ~a · b = 0, (r) 4
~
~
~
~
~
(b − ~a) · (b + ~c) = 0 and 2|b + ~c| = |b − ~a|. If ~a = µb + 4~c,
then the possible values of µ are
(D) Let f be the function on [−π, π] given by f(0) = 9 and (s) 5
9x

sin Z π
2 2
f(x) = for x 6= 0. The value of f(x) dx is
x
sin π −π
2

(t) 6

(p) (q) (r) (s) (t)
(A) p q r s t

(B) p q r s t

(C) p q r s t

(D) p q r s t

[JEE 2010]