1
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

The value of $$\mathop {\lim }\limits_{x \to \infty } {1 \over n}\left\{ {{1 \over {n + 1}} + {2 \over {n + 2}} + .... + {{3n} \over {4n}}} \right\}$$ is

A
$$5 - 2\log 2$$
B
$$4 - 2\log 2$$
C
$$3 - 2\log 2$$
D
$$2 - 2\log 2$$
2
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

The coefficient of x8 in the polynomial (x $$-$$ 1) (x $$-$$ 2) ..... (x $$-$$ 10)

A
2640
B
1320
C
1370
D
2740
3
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

If $$z = {{7 + i} \over {3 + 4i}}$$, then z14 is

A
27
B
27i
C
($$-$$2)7
D
($$-$$2)7i
4
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

The solution of the equation $${{dy} \over {dx}} + {1 \over x}\tan y = {1 \over {{x^2}}}\tan y\sin y$$ is

A
$$2y = \sin y(1 - 2c{x^2})$$
B
$$2x = \cot y(1 + 2c{x^2})$$
C
$$2x = \sin y(1 - 2c{x^2})$$
D
$$2x\sin y = 1 - 2c{x^2}$$
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