(a
+ b)2 – (a – b)2 = 4____________?
a) a + b
b) a – b
c) ab
d) a2b2
Explanation: (a + b)2 – (a – b)2 = a2 + b2 + 2ab – [a2 + b2 – 2ab]
= a2 + b2 + 2ab – a2 - b2 + 2ab = 4ab
Let f(x) = 4x and g(x) = 2x2 + 5x. Find g[f(x)]
a) 10x
b) 2x(8x + 5)
c) 5x
d) 4x(8x+5)
Explanation: Putting the value of f(x) in g(x) we get.
g(f(x)) = 2(4x)2 + 5(4x) = 16x2 + 20x : Taking 4x common: 4x(4x + 5) Answer
Base of natural log is:
a) 10
b) e
c) π
d) 1
Explanation: Base of natural log is e and base of common log is 10
1 + tan2 θ = _______?
a) Sec2 θ
b) Cos2 θ
c) Sin2 θ
d) Cot2 θ