Check whether the following are the quadratic equations: (i)(x+1)2=2(x−3) (ii)x2−2x=(−2)(3−x) (iii)(x−2)(x+1)=(x−1)(x+3) (iv)(x−3)(2x+1)=x(x+5) (v)(2x−1)(x−3)=(x+5)(x−1) (vi)x2+3x+1=(x−2)2 (vii)(x+2)3=2x(x2−1) (viii)x3−4x2−x−1=(x−2)3

How do you find the Maclaurin series for tanx?

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)

The smallest composite number is ______.

(a) 2

(b) 4

(c) 1

(d) None of these

Find the arithmetic mean of the first ten odd natural numbers.

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

A. 10 km/hr

B. 4 km/hr

C. 14 km/hr

D. 6 km/hr