MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Applications of Definite Integral>Evaluation Test>Q 18

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MHT-CET

IMPORTANT

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The area enclosed by the parabola ${(y - 2)}^{2} = x - 1,$ the tangent to the parabola at $(2, 3)$ and the $X -$ axis is

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Important Questions on Applications of Definite Integral

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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 7 - Applications of Definite Integral>Classical Thinking>Q 4

The area bounded by

y = 1 + \frac{8}{x^{2}}

,

x

-axis and the ordinates

x = 2, x = 4

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Applications of Definite Integral>Classical Thinking>Q 5

The area bounded by the curve

y = \log x

,

x

-axis and the ordinates

x = 1, x = 2

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 7 - Applications of Definite Integral>Critical Thinking>Q 5

Area bounded by the curve

x y - 3 x - 2 y - 10 = 0, X

-axis and the lines

x = 3, x = 4

is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Applications of Definite Integral>Critical Thinking>Q 6

If the area bounded by

y = 3 x^{2} - 4 x + k,

the

X

-axis and

x = 1, x = 3

is

20 sq . units,

then the value of

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 7 - Applications of Definite Integral>Critical Thinking>Q 7

The area between the curve

y = 4 + 3 x - x^{2}

and

x

-axis is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Applications of Definite Integral>Critical Thinking>Q 8

The area of the region bounded by

x = y^{2} - y

and

Y

-axis is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Applications of Definite Integral>Critical Thinking>Q 9

The area bounded by the curve

y = 4 x - x^{2}

and the

X

-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 7 - Applications of Definite Integral>Critical Thinking>Q 10

The area bounded by the curve

y = f (x), x

-axis and ordinates

x = 1

and

x = b

is

(b - 1) \sin (3 b + 4),

then

f (x)

is