CUET Mathematics - If the slope of the tangent to the curve y = x(x) at any point (x, y) is 2y/x and the curve passes through the point (1/9, 1), then equation of curve is | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Calculus

Medium

applied

$y^3 = 3x^3$

$y^3 = 3x^2$

$y^4 = 3x^2$

$y = 3x^2$

✅ Correct Option: 2

Related questions:

15 May Shift 1

The general solution of the differential equation $(1 + e^x)dy + ye^x dx = 0$ , where $y > 0$ , is

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Match List-I with List-II

List-I	List-II
Differential Equation	Order and degree of differential equation
(A) $\frac{d^2y}{dx^2} + 2\left(\frac{dy}{dx}\right)^2 = e^{\frac{dy}{dx}} + 1$	(I) Order = 1, Degree = 2
(B) $\left(\frac{d^2y}{dx^2}\right)^2 + 4\left(\frac{dy}{dx}\right)^3 = e^y - 1$	(II) Order = 2, Degree = 1
(C) $3\left(\frac{dy}{dx}\right) + 4y + e^y = \frac{dx}{dy}$	(III) Order = 2, Degree = 2
(D) $\frac{d^2y}{dx^2} + 3\left(\frac{dy}{dx}\right) = \left(e^y + \frac{dy}{dx}\right)^2$	(IV) Order = 2, Degree = Not defined

Choose the correct answer from the options given below:

21 May Shift 1

The general solution of the differential equation $x(1 + y^2)dx + y(1 + x^2)dy = 0$ is

CUET Mathematics 2025 19 May Shift 1 PYQs