MHT CET · Maths · Application of Derivatives
The equation of normal to the curve at the point is ________
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given curve is and point
then,
Hence, equation of normal is
then,
Hence, equation of normal is
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The point, at which the maximum value of \(10 x+6 y\) subject to the constraints \(x+y \leq 12\), \(2 x+y \leq 20, x \geq 0, y \geq 0\) occurs, isMHT CET 2024 Hard
- If \((2+\sin x) \frac{\mathrm{d} y}{\mathrm{~d} x}+(y+1) \cos x=0\) and \(y(0)=1\), then \(y\left(\frac{\pi}{2}\right)\) is equal toMHT CET 2024 Easy
- The foot of the perpendicular drawn from the origin to the plane \(x+y+3 z-4=0\)
isMHT CET 2020 Easy - If general solution of \(\cos ^2 \theta-2 \sin \theta+\frac{1}{4}=0\) is \(\theta=\frac{\mathrm{n} \pi}{\mathrm{A}}+(-1)^{\mathrm{n}} \frac{\pi}{\mathrm{B}}, \mathrm{n} \in \mathrm{Z}\), then \(\mathrm{A}+\mathrm{B}\) has the valueMHT CET 2023 Hard
- \(\int \frac{x \mathrm{~d} x}{(x-1)^2(x+2)}=\)MHT CET 2024 Medium
- If \(A=\left[\begin{array}{lll}3 & 2 & 4 \\ 1 & 2 & 1 \\ 3 & 2 & 6\end{array}\right]\) and \(A_{i j}\) are the cofactors of \(a_{\tilde{y}}\),
then \(a_{11} A_{11}+a_{12} A_{12}+a_{13} A_{13}\) is equal toMHT CET 2009 Easy
More PYQs from MHT CET
- Identify from following the correct set of thermodynamic conditions for the reaction to be nonspontaneous at all temperature.MHT CET 2025 Easy
- A transistor is used as a common emitter amplifier with a load resistance of . The input resistance is . Base current is changed by which results in a change in collector current by . The voltage gain of the amplifier isMHT CET 2018 Easy
- If \(\quad \overline{\mathrm{a}}=\hat{\mathrm{i}}+4 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{b}}=3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+7 \hat{\mathrm{k}}, \overline{\mathrm{c}}=2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+4 \hat{\mathrm{k}}\), then a vector \(\bar{d}\) which is parallel to vector \(\bar{a} \times \bar{b}\) and which \(\overline{\mathrm{c}} \cdot \overline{\mathrm{d}}=15\), isMHT CET 2023 Medium
- What is molecular formula of cyclohexylamine?MHT CET 2023 Easy
- If \(y=\sqrt{\frac{1-\sin ^{-1}(x)}{1+\sin ^{-1}(x)}}\), then \(\frac{\mathrm{d} y}{\mathrm{~d} x}\) at \(x=0\) and \(y=1\) isMHT CET 2023 Medium
- are the vertices of The joint equation of the altitude and median drawn from isMHT CET 2017 Hard