1

JEE Advanced 2022 Paper 2 Online

MCQ (More than One Correct Answer)

+4

-2

For $x \in \mathbb{R}$, let the function $y(x)$ be the solution of the differential equation

$$ \frac{d y}{d x}+12 y=\cos \left(\frac{\pi}{12} x\right), \quad y(0)=0 $$

Then, which of the following statements is/are TRUE ?

$$ \frac{d y}{d x}+12 y=\cos \left(\frac{\pi}{12} x\right), \quad y(0)=0 $$

Then, which of the following statements is/are TRUE ?

2

JEE Advanced 2019 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

Let $$\Gamma $$ denote a curve y = y(x) which is in the first quadrant and let the point (1, 0) lie on it. Let the tangent to I` at a point P intersect the y-axis at Y

_{P}. If PY_{P}has length 1 for each point P on I`, then which of the following options is/are correct?3

JEE Advanced 2017 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

If $$g(x) = \int_{\sin x}^{\sin (2x)} {{{\sin }^{ - 1}}} (t)\,dt$$, then

4

JEE Advanced 2016 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

A solution curve of the differential equation

$$\left( {{x^2} + xy + 4x + 2y + 4} \right){{dy} \over {dx}} - {y^2} = 0,$$ $$x>0,$$ passes through the

point $$(1,3)$$. Then the solution curve

$$\left( {{x^2} + xy + 4x + 2y + 4} \right){{dy} \over {dx}} - {y^2} = 0,$$ $$x>0,$$ passes through the

point $$(1,3)$$. Then the solution curve

Questions Asked from Differential Equations (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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