Let a, b,c be three unit vectors such that and ) is equal to: a. (3/2, 3a×c) b. (-3/2, 3c×b) c. (-3/2, 3a×b) d. (3/2, 3b×c) Solution: Given... View Article
Let f(x) be a polynomial of degree 5 such that x = ± 1 are its critical points. If then which one of the following is not true? a. f(1)... View Article
a. π- tan-1 (4/3) b. - tan-1 (3/4) c. π- tan-1 (4/3) d. tan-1 (4/3) Solution: Let 𝑧 is real. 4 sin 𝜃 + 3 cos 𝜃 = 0 ⇒ tan 𝜃 = -3/4 [𝜃 lies in... View Article
a. 2x − 3y = 0 b. 3x − 2y = 0 c. 5x − 7y = 0 d. 7x − 5y = 0 Solution: Let R be the midpoint of PQ PQ is perpendicular on line y = x Equation... View Article
a. 420 b. 330 c. 210 d. 120 Solution: Coefficient of x7 in (1+x)10+ x(1+x)9+ x2(1+x)8+⋯ +x10 Applying sum of terms of G.P = = (1 + x)11 − x11... View Article
a. If A ⊆ C, then B ⊂ A or D ⊂ B b. If A ⊈ C, then A ⊆ B and B ⊆ D c. If A ⊈ C, then A ⊈ B and B ⊆ D d. If A ⊈ C, then A ⊈ B or B ⊈ D Solution:... View Article
a. 2√5 b. 2√7 c. 2√2 d. 4 Solution: 3x+4y =12√2 is a tangent to the ellipse (x2/a2) + (y2/9) = 1 Equation of tangent to ellipse (x2/a2) + (y2/9)... View Article
A particle of mass is fixed to one end of a light spring having force constant k and unstretched length l. The other end is fixed. The system... View Article