Match the statements in Column I with those in Column II: Column I Column II (A) A line from the origin meets the lines {x-2}/1 = \frac{y-1}{-2} = {z+1}/1 and {x-(8/3)}/2 = \frac{y+3}{-1} = {z-1}/1 at P and Q, respectively. If length PQ = d, then d^2 is (P) - 4 (B) The values of x satisfying \tan^{-1}(x+3)-\tan^{-1}(x-3) = \sin^{-1}(3/5) are (Q) 0 (C) Non-zero vectors a^{\to},b^{\to} and c^{\to} satisfy a^{\to}.b^{\to} = 0, (b^{\to}-a^{\to}).(b^{\to}+c^{\to}) = 0 and 2|b^{\to}+c^{\to}| = |b^{\to}-a^{\to}|. If a^{\to} = \mub^{\to}+4c^{\to}, then the possible values of µ are (R) 4 (D) Let f be the function on [–π, π] given by f (0) = 9 and f (x) = {\sin({9x}/2)}/{\sin(x/2)} for x ≠ 0. The value of 2/\pi \int^{\pi}_{-\pi} f(x) dx is (S) 5 (T) 6 [JEE Adv 2010 P2]

Correct Answer is : (A)→(T), (B)→(P), (R); (C)→(Q), (S); (D)→(R)

(A)→(P), (B)→(P), (R); (C)→(R), (S); (D)→(R)

(A)→(R), (B)→(P), (R); (C)→(Q), (S); (D)→(P)

(A)→(T), (B)→(P), (R); (C)→(Q), (S); (D)→(R)

(A)→(S), (B)→(P), (R); (C)→(Q), (S); (D)→(T)

Three Dimensional Geometry

Section: Mathematics

Question : 29 of 35

Marks: +1, -0

Match the statements in Column I with those in Column II:

Column I

Column II

(A) A line from the origin meets the lines

x−2

y−1

−2

z+1

and

x−(

)

y+3

−1

z−1

at P and Q, respectively. If length PQ = d, then d2 is

(P) - 4

(B) The values of x satisfying tan−1(x+3)−tan−1(x−3) = sin−1(

) are

(Q) 0

→

and

→

satisfy

→

= 0, (

→

−

→

).(

→

) = 0 and 2|

→

| = |

→

−

→

|. If

→

= µ

→

, then the possible values of µ are

(R) 4

(D) Let f be the function on [–π, π] given by f (0) = 9 and f (x) =

sin(

)

sin(

)

for x ≠ 0. The value of

‌

∫

−π

f(x)dx is

(S) 5

(T) 6

[JEE Adv 2010 P2]

(A)→(P), (B)→(P), (R); (C)→(R), (S); (D)→(R)
(A)→(R), (B)→(P), (R); (C)→(Q), (S); (D)→(P)
(A)→(T), (B)→(P), (R); (C)→(Q), (S); (D)→(R)
(A)→(S), (B)→(P), (R); (C)→(Q), (S); (D)→(T)

Validate

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