1
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

Find the area enclosed by the loop in the curve 4y2 = 4x2 $$-$$ x3.

A
$${{128} \over {15}}$$
B
$${{15} \over {128}}$$
C
$${{130} \over {17}}$$
D
$${{17} \over {130}}$$
2
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

If $$2f(xy) = {(f(x))^x} + {(f(y))^x}$$ for all $$x,y \in R$$ and $$f(1) = a( \ne 1)$$. Then $$\sum\limits_{k = 1}^n {f(k) = } $$

A
$$({a^n} - 1)/(a - 1)$$
B
$$a({a^{n - 1}} - 1)/(a - 1)$$
C
$$a({a^n} - 1)/(a - 1)$$
D
$$({a^n} - 1)/a + 1$$
3
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

Let f(x) = x $$-$$ 3, g(x) = 4 $$-$$ x. Then the set of values of x for which $$|f(x) + g(x)|\, < \,|f(x)| + |g(x)|$$ is true, is given by :

A
R
B
R $$-$$ (3, 4)
C
R $$-$$ [3, 4]
D
None of these
4
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

$$\left\{ {x \in R:{{2x - 1} \over {{x^3} + 4{x^2} + 3x}} \in R} \right\}$$ is equal to

A
$$R - \{ 0\} $$
B
$$R - \{ 0,1,3\} $$
C
$$R - \{ 0, - 1, - 3\} $$
D
$$R - \left\{ {0, - 1, - 3,{1 \over 2}} \right\}$$
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