MHT CET · Maths · Area Under Curves
The maximum value of subject to is ________
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given: (Maximize)
Given: condition
Then
,
Given: condition
Then
,
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 vertices of triangle \(\mathrm{ABC}\) are \(\mathrm{A} \equiv(3,0,0) ; \mathrm{B} \equiv(0,0,4)\); \(\mathrm{C} \equiv(0,5,4)\). Find the position vector of the point in which the bisector of angle A meets \(\mathrm{BC}\) isMHT CET 2021 Medium
- The shaded area in the figure below is the solution set for a certain linear programming problem, then the linear constraints are given by
MHT CET 2024 Easy - If slope of the tangent to the curve \(x y+a x+b y=0\) at the point \((1,1)\) on it is 2 , then the value of \(3 a+b\) isMHT CET 2023 Easy
- The probability that a person who undergoes a bypass surgery will recover is 0.6 . the probability that of the six patients who undergo similar operations, half of them will recover isMHT CET 2024 Medium
- Let \(\vec{a}=2 \hat{i}+\hat{j}-2 \hat{k}, \vec{b}=\hat{i}+\hat{j}\) and \(\vec{c}\) be a vector such that \(|\vec{c}-\vec{a}|=3\). If \(\overrightarrow{\mathrm{p}}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}\), then the angle between \(\overrightarrow{\mathrm{p}}\) and \(\overrightarrow{\mathrm{c}}\) is \(\frac{\pi}{6}\) and \(|\overrightarrow{\mathrm{p}} \times \overrightarrow{\mathrm{c}}|=3\). Thus \(\vec{a} . \vec{c}\) is equal to-MHT CET 2022 Hard
- The value of \(\int_{0}^{\pi} \log (1+\cos x) d x\) isMHT CET 2012 Hard
More PYQs from MHT CET
- An alternating voltage of \(22 \mathrm{~V}\) is applied across an inductance coil of reactance \(11 \Omega\). If the inductance of the coil is \(0.07 \mathrm{H}\), the frequency of alternating voltage isMHT CET 2022 Easy
- Given \(P(A \cup B)=0.6, P(A \cap B)=0.2\), the probability of exactly one of the event occurs isMHT CET 2009 Medium
- If \(\mathrm{f}(x)=\left\{\begin{array}{ll}\mathrm{e}^{\cos x} \sin x & , \text { for }|x| \leq 2 \ 2, & \text { otherwise }\end{array}\right.\), then \(\int_{-2}^3 \mathrm{f}(x) \mathrm{d} x\) is equal toMHT CET 2023 Medium
- Velocity of sound waves in air is \(330 \mathrm{~m} / \mathrm{s}\). For a particular sound wave in air, path difference of 40 cm is equivalent to phase difference of (1.6) \(\pi\). The frequency of this wave isMHT CET 2024 Medium
- Identify the reagent used in the following reaction.
Benzoic acid \(\stackrel{\text { Reagent }}{\Delta}\) Benzoyl chloride + Phosphorous oxychloride + Hydrogen chlorideMHT CET 2023 Easy - If in a wire of Young's modulus \(Y\), longitudinal strain \(X\) is produced then the potential energy stored in its unit volume will beMHT CET 2007 Easy