If $x=t^2$ and $y=t^3,$ then $\frac{d^{2}y}{d{x}^2}=$

Important Questions on Model Question Paper

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 42

The area bounded by the curve $y=4x-x^2$ and the $X$-axis is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 43

$y=a+\frac{b}{x}$ is a solution of the differential equation

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 44

The line $\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{0}$ is parallel to

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 45

${\int }_{\frac{-\pi }{4}}^{\frac{\pi }{4}}{x}^3{\sin }^{4}xdx=$

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 46

If $A$ is an obtuse angle, then $\frac{{\sin }^{3}A-{\cos }^{3}A}{\sin A-\cos A}+\frac{\sin A}{\sqrt{1+{\tan }^{2}A}}-2\tan A\cot A$ is equal to

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 47

$\int \frac{{\log }_{e}x}{x^3}dx=$

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 48

If $5^{\mathrm{th}}$ term of a $\mathrm{HP}$ is $\frac{1}{45}$ and ${11}^{\mathrm{th}}$ term is $\frac{1}{69}$, then its ${16}^{\mathrm{th}}$ term will be

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Model Question Paper>MODEL QUESTION PAPER>Q 49

Cosine of the angle between the lines $\overrightarrow{r}=5\hat{i}-\hat{j}+4\hat{k}+\lambda \left(\hat{i}+2\hat{j}+2\hat{k}\right)$ and $\overrightarrow{r}=7\hat{i}+2\hat{j}+2\hat{k}+\mu \left(3\hat{i}+2\hat{j}+6\hat{k}\right)$ is