Match Column I with Column II: Column I Column II (A) Two rays in I quadrant x + y = |a| and ax – y = 1 intersect each other in the interval a ∈ (a ,∞), 0 then value of ({2a_0}/3) is (P) 2 (B) Point (α, β, γ) lie on the plane x + y + z = 2 let a^{\to} = \alphai^{\^}+\betaj^{\^}+\gammak^{\^} , k^{\^} \times (k^{\^} \times a^{\^}) = 0 then γ is (Q) 2/3 (C) |\int^{1}_{0}(1-y^2)dy| + |\int^{0}_{1}(y^2-1)dy| (R) |\int^{1}_{0}\sqrt{1-x} dx| + |\int^{0}_{-1}\sqrt{1+x} dx| (D) If sinAsinBsinC + cosAcosB = 1, then the value of sinC is (S) 1 [JEE Adv 2006 P1]

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

(A)→(P); (B)→(Q); (C)→(R); (D)→(S)

(A)→(S); (B)→(P); (C)→(R); (D)→(Q)

(A)→(R); (B)→(P); (C)→(Q); (D)→(S)

(A)→(Q); (B)→(P); (C)→(R); (D)→(S)

IIT JEE Advanced 2006 Paper 1

Section: Mathematics

Question : 119 of 120

Marks: +1, -0

Match Column I with Column II:

Column I

Column II

(A) Two rays in I quadrant x + y = |a| and ax – y = 1 intersect each other in the interval a ∈ (a ,∞), 0 then value of (

2a0

) is

(P) 2

(B) Point (α, β, γ) lie on the plane x + y + z = 2 let

→

= α

+β

+γ

×(

) = 0 then γ is

(Q)

∫

(1−y2)dy|+|

∫

(y2−1)dy|

(R) |

∫

√1−xdx|+|

∫

−1

√1+xdx|

(D) If sinAsinBsinC + cosAcosB = 1, then the value of sinC is

(S) 1

[JEE Adv 2006 P1]

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