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Test: Area Under Curves (4 Oct) - JEE MCQ


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10 Questions MCQ Test - Test: Area Under Curves (4 Oct)

Test: Area Under Curves (4 Oct) for JEE 2024 is part of JEE preparation. The Test: Area Under Curves (4 Oct) questions and answers have been prepared according to the JEE exam syllabus.The Test: Area Under Curves (4 Oct) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Area Under Curves (4 Oct) below.
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Test: Area Under Curves (4 Oct) - Question 1

Detailed Solution for Test: Area Under Curves (4 Oct) - Question 1

Area of standard ellipse is given by :πab.

Test: Area Under Curves (4 Oct) - Question 2

The area bounded by the curve y = 4x - x2 and the x- axis is equal to

Detailed Solution for Test: Area Under Curves (4 Oct) - Question 2

For x - axis, y = 0,

Therefore, 4x - x2 = 0

Therefore, x = 0 or x = 4

Required area :

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Test: Area Under Curves (4 Oct) - Question 3

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

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Test: Area Under Curves (4 Oct) - Question 4

For which of the following values of m , is the area of the region bounded by the curve y = x - x2 and the line y = mx equal to 9/2 ?

Detailed Solution for Test: Area Under Curves (4 Oct) - Question 4


Test: Area Under Curves (4 Oct) - Question 5

The area of the region bounded by the parabola (y−2)2 = x−1,the tangent to yhe parabola at the point (2 , 3) and the x – axis is equal to

Detailed Solution for Test: Area Under Curves (4 Oct) - Question 5


Therefore, tangent at (2, 3) is y – 3 = ½ (x – 2). i.e. x – 2y +4 = 0 . therefore required area is 

Test: Area Under Curves (4 Oct) - Question 6

The area of the loop between the curve y = a sin x and the x – axis and x = 0 , x = π. is

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Test: Area Under Curves (4 Oct) - Question 7

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

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Test: Area Under Curves (4 Oct) - Question 8

The area enclosed by the curve xy2 = a2(a − x) and the y – axis is

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Test: Area Under Curves (4 Oct) - Question 9

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

Detailed Solution for Test: Area Under Curves (4 Oct) - Question 9


Graph of y = x [x]

Test: Area Under Curves (4 Oct) - Question 10

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

Detailed Solution for Test: Area Under Curves (4 Oct) - Question 10


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