Match the statements given in Column I with the values given in Column II: Column I Column II (A) If a^{\to} = j^{\^}+\sqrt3k^{\^} , b^{\to} = -j^{\^}+\sqrt3 k^{\^} and c^{\to} = 2\sqrt3 k^{\^} form a triangle, then the internal angle of the triangle between a^{\to} and b^{\to} is (P) \pi/6 (B) If \int^{b}_{a} (f (x) - 3x) dx = a^2-b^2, then the value of f(\pi/6) is (Q) {2\pi}/3 (C) The value of \pi^2/{ln3} \int^{5/6}_{7/6} \sec(\pix) dx is (R) \pi/3 (D) The maximum value of |\arg (1/{1-z})| for z = 1, z ≠ 1 is given by (S) π (T) \pi/2 [JEE Adv 2011 P2]

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

(A)→(P), (B)→(Q), (C)→(S), (D)→(T)

(A)→(Q), (B)→(P), (C)→(R), (D)→(T)

(A)→(P), (B)→(Q), (C)→(S), (D)→(R)

(A)→(Q), (B)→(P), (C)→(S), (D)→(T)

Vector Algebra

Section: Mathematics

Question : 28 of 38

Marks: +1, -0

Match the statements given in Column I with the values given in Column II:

Column I

Column II

(A) If

→

+√3

→

= −

+√3

and

→

= 2√3

form a triangle, then the internal angle of the triangle between

→

and

→

(P)

(B) If

∫

(f (x) - 3x) dx = a2−b2, then the value of f(

) is

(Q)

2π

π2

ln3

‌

∫

sec(πx)dx is

(R)

(D) The maximum value of |arg(

1−z

)| for z = 1, z ≠ 1 is given by

(S) π

(T)

[JEE Adv 2011 P2]

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

Validate

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