MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 27

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The $X Z$ plane divides the line segment joining the points $(3, 2, b)$ and $(a, - 4, 3)$ in the ratio

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Important Questions on MHT-CET 2019 Question Paper

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 28

The vector equation of the plane passing through the point

A (- 1, 2, - 5)

and parallel to the vectors

4 \hat{i} - \hat{j} + 3 \hat{k}

and

\hat{i} + \hat{j} - \hat{k}

is

HARD

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 29

The objective function

Z = 6 x + 2 y

is subject to

5 x + 9 y \leq 90, x + y \geq 4, y \leq 8, x, y \geq 0

. The minimum value of

Z

occurs at

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 30

If

Z = 2 x + y

subject to

x \leq 4, y \leq 6, x + y \geq 6, x \geq 0, y \geq 0

, then the maximum value of

Z

is

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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 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 31

If the function

f (x) = (x + 1)^{\cot x}

is continuous at

x = 0

, then

f (0) =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 32

If

f (x)

is continuous at

x = a, f (x) = \frac{\sqrt{x} - \sqrt{a} + \sqrt{x - a}}{\sqrt{x^{2} - a^{2}}}

, for

x \neq a

, then

f (a) =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 34

If

y = {cosec}^{- 1} (\frac{x^{2} + 1}{x^{2} - 1}) + \cos^{- 1} (\frac{x^{2} - 1}{x^{2} + 1})

, then

\frac{d y}{d x} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 35

If

x = t \log_{e} t, y = t^{t}, \frac{d y}{d x} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - MHT-CET 2019 Question Paper>MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)>Q 36

If

f (x) = x^{3} - 3 x

has minimum value at

x = a

, then

a =