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Cos Alpha Plus Cos Beta Square Plus Sin Alpha Plus Sin Beta Square

1) 4 cos2(α – β)/2 2) 4 sin2(α – β)/2 3) 4 cos2(α + β)/2 4) 4 sin2(α + β)/2... View Article

1) 2 sin A 2) sec A 3) 2 cos A cot A 4) None of these Answer: (1) 2... View Article

1) tan A 2) tan 2A 3) cot A 4) cot 2A Answer: (4) cot 2A Solution: [1/(tan 3A –... View Article

1) tan A/2 2) cot A/2 3) sec A/2 4) cosec A/2 Answer: (1) tan A/2 Solution: [sin 2A/(1 +... View Article

1) a 2) b 3) -a 4) -b Answer: (1) a Solution: Given, a tan θ = b tan θ... View Article

1) A.P 2) G.P 3) H.P 4) None of these Answer: (2) G.P Solution: Given, cos 2B = cos(A +... View Article

1) 4 sin θ(1 – 2 sin2θ) √(1 – sin2θ) 2) 2 sin θ cos θ sin2θ 3) 4 sin... View Article

1) 0 2) 1/2 3) 1 4) ∞ Answer: (4) ∞ Solution: Given, cos A = √3/2 We know that,... View Article

1) -5 2) 5 3) 9/4 4) 4/9 Answer: (4) 4/9 Solution: Given, tan A/2 = 3/2 We know that,... View Article

1) f (x) > 0 ∀ x ∈ R 2) f (x) < 0 ∀ x ∈ R 3) f... View Article

1) y / x 2) x / y 3) my / nx 4) ny / mx Solution: (3) my /... View Article

1) 1 2) –1 3) 0 4) None of these Solution: (3) 0

1) 2) 3) 4) None of these Solution: (2)

1) f’ (1) = 4 + f’ (2) 2) g’ (2) = g’ (1) + 4 3) g’’ (2) +... View Article

1) f(3) = f(−3) 2) f(3) + f(−3) = 0 3) f’(2) + f’(−2) = 0 4) f'(2) = f'(2)... View Article

1) (3nπ / 2) 2) (3nπ / 4) 3) (2nπ / 3) 4) None of these Solution: (3) (2nπ /... View Article

1) A.P 2) G.P 3) H.P 4) None of these Solution: (1) A.P Let f (x) = ax2 + bx... View Article

1) [x – y] / [x (1 + loge x)] 2) [1 + x – y] / [x (1 +... View Article

1) – [y (y + x log y) / x (y log x + x)] 2) [y (x + y... View Article

1) 2 [(1 / 3√3) – (1 / 5√5)] 2) 2 [(1 / 3√3) + (1 / 5√5)] 3) [(1... View Article