Test: Integral Calculus


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20 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Integral Calculus

Test: Integral Calculus for Electronics and Communication Engineering (ECE) 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Test: Integral Calculus questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Integral Calculus MCQs are made for Electronics and Communication Engineering (ECE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Integral Calculus below.
Solutions of Test: Integral Calculus questions in English are available as part of our GATE Electrical Engineering (EE) 2023 Mock Test Series for Electronics and Communication Engineering (ECE) & Test: Integral Calculus solutions in Hindi for GATE Electrical Engineering (EE) 2023 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Test: Integral Calculus | 20 questions in 60 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) 2023 Mock Test Series for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
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Test: Integral Calculus - Question 1

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Test: Integral Calculus - Question 10

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Test: Integral Calculus - Question 11

If A is the region bounded by the parabolas y2 = 4x and x2 = 4y then    is equal to 

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Test: Integral Calculus - Question 12

The area of the region bounded by the curves x2 + y2 = a2  and x + y = a in the first quadrant is given by 

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The curves are 

x2 + y2 = a2 ...(i)

and x + y = a ...(ii)

The curves (i) and (ii) intersect at A (a, 0) and B (0,a)

 

Test: Integral Calculus - Question 13

The area bounded by the curves y = 2√x , y = -x , x = 1  and x = 4 is given by

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The given equations of the curves are

Test: Integral Calculus - Question 14

The area bounded by the curves y2 = 9x , x - y + 2 = 0 is given by

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The equations of the given curves are

Test: Integral Calculus - Question 15

The area of the cardioid r = a (1 + cos θ) is given by

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The equation of the cardioid is

r = a (1 + cos θ)  .... (i)

If a figure is drawn then from fig. the required area is

 

Test: Integral Calculus - Question 16

The area bounded by the curve r = θ cosθ and the lines θ = 0 and θ = π/2 is given by

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 The equation of the given curve is

r = θ cosθ ...(i)

The required area

 

Test: Integral Calculus - Question 17

The area of the lemniscate r2 = a2 cos2θ is given by 

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If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 18

The area of the region bounded by the curve y(x2 + 2) = 3x and 4y = x2 is given by 

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The equations of given curves are

y(x2 + 2) = 3x ....(i) and 4y = x2 ....(ii)

The curve (i) and (ii) intersect at A (2, 1).
If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 19

The volume of the cylinder x2 + y2 = a2 bounded below by z = 0 and bounded above by z = h is given by

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The equation of the cylinder is  x2 + y2 = a2

The equation of surface CDE is z = h

If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 20

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