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

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

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Important Questions on Model Question Paper

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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

\vec{r} = 5 \hat{i} - \hat{j} + 4 \hat{k} + λ (\hat{i} + 2 \hat{j} + 2 \hat{k})

and

\vec{r} = 7 \hat{i} + 2 \hat{j} + 2 \hat{k} + μ (3 \hat{i} + 2 \hat{j} + 6 \hat{k})

is

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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 50

If the distance between a focus and corresponding directrix of an ellipse be

8

and the eccentricity be

\frac{1}{2}

, then length of the minor axis is

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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 1

The direction cosines of the vector

2 \hat{i} + 2 \hat{j} - \hat{k}

are

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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 2

A circle

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

passing through

(4, - 2)

is concentric to the circle

x^{2} + y^{2} - 2 x + 4 y + 20 = 0,

then the value of

c

will be

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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 3

In a

Δ A B C

, if

a, b, c

are in

AP

, then the value of

\frac{\sin \frac{A}{2} \sin \frac{C}{2}}{\sin \frac{B}{2}} =

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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 4

The expression

$\cos \frac{10 π}{13} + \cos \frac{8 π}{13} + \cos \frac{3 π}{13} + \cos \frac{5 π}{13}$ is equal to

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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 5

The value of

k

so that the equation

k x y + 10 x + 6 y + 4 = 0

may represent a pair of lines are

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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 6

The points on the

X

-axis whose perpendicular distance from the line

\frac{x}{a} + \frac{y}{b} = 1

is

a

, are