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MCQ (Single Correct Answer)

BITSAT 2022
If g(x) = x2 + x $$-$$ 2 and $$\frac{1}{2}gof(x)=2x^2-5x+2$$, then f(x) is equal to
BITSAT 2021
If f(x) = 4x $$-$$ x2, x$$\in$$R, and f(a + 1) $$-$$ f(a $$-$$ 1) = 0, then a is equal to
BITSAT 2021
The maximum value of the function y = x(x $$-$$ 1)2, is
BITSAT 2021
Find the area enclosed by the loop in the curve 4y2 = 4x2 $$-$$ x3.
BITSAT 2020
If $$2f(xy) = {(f(x))^x} + {(f(y))^x}$$ for all $$x,y \in R$$ and $$f(1) = a( \ne 1)$$. Then $$\sum\limits_{k = 1}^n {f(k) = } $$
BITSAT 2020
Let f(x) = x $$-$$ 3, g(x) = 4 $$-$$ x. Then the set of values of x for which $$|f(x) + g(x)|\,
BITSAT 2020
$$\left\{ {x \in R:{{2x - 1} \over {{x^3} + 4{x^2} + 3x}} \in R} \right\}$$ is equal to
BITSAT 2020
The solution set of $${{|x - 2|\, - 1} \over {|x - 2|\, - 2}} \le 0$$ is
BITSAT 2020
Let $$f(x) = {x \over {\sqrt {1 + {x^2}} }}$$, $$\underbrace {fofofo.....of(x)}_{x\,times}$$ is
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