Check whether the given equation is a quadratic equation.
i) `(x+1)^2=3(x-1)`
ii) `(x^2-4x)=(-2)(4-x)`.

Answer

A, C

Explanation

`int_(0)^(alpha) f(x)dx`………..1
Put `x=alphat`
`:. int_(0)^(alpha) f(x)dx=alpha int_(0)^(1)f (alpha t)dt ge alpha int_(0)^(1)f(t)dt` as `alpha epsilon(0,1)`
Also `alpha int_(0)^(1) f(t)dt ge alpha^(2) int_(0)^(1)f(t)dt`
`:. int_(0)^(alpha)f(x)dxgealpha^(2)int_(0)^(1)f(x)dx`