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Application of Integrals - 1 - JEE MCQ


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30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Application of Integrals - 1

Application of Integrals - 1 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Application of Integrals - 1 questions and answers have been prepared according to the JEE exam syllabus.The Application of Integrals - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Application of Integrals - 1 below.
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Application of Integrals - 1 - Question 1

The area of the smaller segment cut off from the circle x2+y2 = 9by x = 1 is

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Application of Integrals - 1 - Question 2

The area bounded by the curve y2 = x,line y = 4 and y – axis is equal to

Detailed Solution for Application of Integrals - 1 - Question 2

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Application of Integrals - 1 - Question 3

The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = π/2 is equal to

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Application of Integrals - 1 - Question 4

The area bounded by the parabola y = x2 and the line y = x is

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Application of Integrals - 1 - Question 5

The area common to the circle x2+y2 = 16 and the parabola y2 = 6x is

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Solving eqns. (i) and (ii), we get points of intersection (2, 2√3) and (2, -2√3)

Substituting these values of x in eq. (ii). Since both curves are symmetrical about r-axis.

Hence the required area 

Application of Integrals - 1 - Question 6

The area of the region bounded by the curves y = |x−2|, x = 1 , x = 3 and the x – axis is

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Application of Integrals - 1 - Question 7

The area bounded by the curve y = | x | – 1 and y = – | x | + 1 is -

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Application of Integrals - 1 - Question 8


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Application of Integrals - 1 - Question 9


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Application of Integrals - 1 - Question 10

The area bounded by the curve y = x|x|, x-axis and the ordinates x = 1, x = –1 is given by

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Application of Integrals - 1 - Question 11

The ratio of the areas of two curves y = cos x and

y = cos 2x between x-axis from x = 0 to x = π/3 is

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Application of Integrals - 1 - Question 12


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Application of Integrals - 1 - Question 13

The area enclosed between the curves y = sin2 x and y = cos2x in the interval 0 ≤ x ≤ π is -

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Application of Integrals - 1 - Question 14

The area of the plane region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is equal to- 

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Application of Integrals - 1 - Question 15

Area of the region bounded by the curves y = x2 + 2, y = – x, x = 0 and x = 1 is -

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Application of Integrals - 1 - Question 16


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Application of Integrals - 1 - Question 17

Find the area bounded by x = 1/2, x = 2, y = loge x and y = 2x -

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Application of Integrals - 1 - Question 18


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Application of Integrals - 1 - Question 19

The area bounded by the curves y2 = 2x + 1 and x – y – 1 = 0 is -

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Application of Integrals - 1 - Question 20

A region in the  xy  plane is bounded by the graph of  y = 1/x  , the x-axis, the line x = m, and the line x = 2m, m > 0. The area of this region

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Application of Integrals - 1 - Question 21


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Application of Integrals - 1 - Question 22


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Application of Integrals - 1 - Question 23

The area enclosed by the curves 3x2 + 5y = 32 and y = | x – 2 | is -

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Application of Integrals - 1 - Question 24

The area of the region bounded by the curve a4y2 = (2a – x) x5 is to that of the circle whose radius is a, is given by the ratio -

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Application of Integrals - 1 - Question 25

Ratio of the area cut off a parabola by any double ordinate is that of the corresponding rectangle contained by that double ordinate and its distance from the vertex is -

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Application of Integrals - 1 - Question 26

Area of region bounded by [x]2 = [y]2 if x ∈ [1, 5] where [.] represents the greatest integer function, is -

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Application of Integrals - 1 - Question 27


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Application of Integrals - 1 - Question 28

The area enclosed between the curve y = loge(x + e) and the coordinate axes is-

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Application of Integrals - 1 - Question 29

The area of the bounded by y = cos x, y = 0, | x | = 1 is given by -

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Application of Integrals - 1 - Question 30

The value of m for which the area included between the curves y2 = 4ax and y = mx equals a2/3 is

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