WB JEE 2023 | Differentiation Question 20 | Mathematics

PREVIOUS NEXT

WB JEE 2023

MCQ (Single Correct Answer)

-0.5

If $$x = \sin \theta $$ and $$y = \sin k\theta $$, then $$(1 - {x^2}){y_2} - x{y_1} - \alpha y = 0$$, for $$\alpha=$$

$$-$$k

$$-$$k$$^2$$

k$$^2$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If $$y = {e^{{{\tan }^{ - 1}}x}}$$, then

$$(1 + {x^2}){y_2} + (2x - 1){y_1} = 0$$

$$(1 + {x^2}){y_2} + 2xy = 0$$

$$(1 - {x^2}){y_2} - {y_1} = 0$$

$$(1 + {x^2}){y_2} + 3x{y_1} + 4y = 0$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

Let $$g(x) = \int\limits_x^{2x} {{{f(t)} \over t}dt} $$ where x > 0 and f be continuous function and f(2x) = f(x), then

g(x) is strictly increasing function

g(x) is strictly decreasing function

g(x) is constant function

g(x) is not derivable function

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

A bulb is placed at the centre of a circular track of radius 10 m. A vertical wall is erected touching the track at a point P. A man is running along the track with a speed of 10 m/sec. Starting from P the speed with which his shadow is running along the wall when he is at an angular distance of 60$$^\circ$$ from P is

30 m/sec

40 m/sec

60 m/sec

80 m/sec

PREVIOUS NEXT

WB JEE Subjects