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 40

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IMPORTANT

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The area enclosed by the parabolas $y = x^{2} - 1$ and $y = 1 - x^{2}$ is

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Important Questions on Applications of Definite Integral

MEDIUM

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 41

The area

(in sq. units)

enclosed between the curves

y = x

and

y = 2 x - x^{2}

is (in square units)

HARD

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 42

Area bounded by the curve

x^{2} = 4 y

and the straight line

x = 4 y - 2

is

HARD

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 43

If area in

(sq. units)

bounded by the curves

y^{2} = 4 a x

and

y = m x

is

\frac{a^{2}}{3},

then the value of

m

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 45

The area in

(sq. units)

bounded by the straight lines

x = 0, x = 2

and the curves

y = 2^{x}, y = 2 x - x^{2}

is

HARD

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 48

Area of the region bounded by

\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1

and the line

\frac{x}{3} + \frac{y}{2} = 1

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>Competitive Thinking>Q 1

The area enclosed by

y = 3 x - 5, y = 0, x = 3

and

x = 5

is

EASY

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>Competitive Thinking>Q 2

The area of the region bounded by the lines

y = m x, x = 1, x = 2

and

X -

axis is

6 sq . units,

then

m

is

HARD

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>Competitive Thinking>Q 3

Area of the region bounded by rays

|x| + y = 1

and

X -

axis is