If y^2 = ax + b, a,b R where R is the set of real numbers, then yd^2y/dx^2 + (dy/dx)^2 is equal to: Option 1: 0 Option 2: 1 Option 3: -1 Option 4: 2

The answer is '0'. View full solution:

CUET Mathematics - If y^2 = ax + b, a,b R where R is the set of real numbers, then yd^2y/dx^2 + (dy/dx)^2 is equal to: | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 2

Calculus

Easy

common

-1

✅ Correct Option: 1

Related questions:

21 May Shift 2

If $y = \sin^{-1} \sqrt\frac{x}{x+1} + \sec^{-1}\sqrt{\frac{x+1}{x}}$ , then $\frac{dy}{dx}$ is

12th May Shift 2

If $x=a(\theta+\sin\theta)$ , $y=a(1-\cos\theta)$ , then $\dfrac{d^2y}{dx^2}=$

25th May Shift 1

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. $f(x) = \log_e(x^2+1)$	I. not continuous at all integral values
B. $f(x) = \lvert x\rvert$	II. is continuous as well as differentiable at $x=0$
C. $f(x) = x^2$	III. Continuous everywhere
D. $f(x) = [x]$ , $[x]$ is greatest integer function	IV. Continuous everywhere but not differentiable at $x=0$

Choose the correct answer from the options given below: