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CUET Mathematics 2024 PYQs

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CUET Mathematics 2024

Calculus

>

Continuity & Differentiability

Medium

The equation of the tangent to the curve $\mathrm{x}^{\frac{5}{2}}+\mathrm{y}^{\frac{5}{2}}=33$ at the point $(1,4)$ is :

x+8 y-33=0

12 x+y-8=0

x+8 y-12=0

x+12 y-8=0

Correct Option: 1

.

Related questions:

CUET Mathematics 2024

f(x)

f(x)=\left\{\begin{array}{lll}k x+1 & \text { if } & x \leq \pi \\ \cos x & \text { if } & x>\pi\end{array}\right.

is continuous at

x=\pi

, then the value of

k

CUET Mathematics 2024

[x]

denote the greatest integer function. Then match List-I with List-II:

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List-I	List-II
(A) $\|x - 1\| + \|x - 2\|$	(I) is differentiable everywhere except at $x = 0$
(B) $x - \|x\|$	(II) is continuous everywhere
(C) $x - [x]$	(III) is not differentiable at $x = 1$
(D) $x \, \|x\|$	(IV) is differentiable at $x = 1$

CUET Mathematics 2024

The second order derivative of which of the following functions is

5^{\mathrm{x}}