Important Questions of Application of Integrals Mathematics | Zigya

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 Multiple Choice QuestionsLong Answer Type

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11. Find the area of the region bounded by the curve straight y space equals space 2 square root of 1 minus straight x squared end root and x-axis. Draw a rough sketch..
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 Multiple Choice QuestionsShort Answer Type

12. Calculate the area bounded by the parabola y2 = 4 a x and its latus rectum.
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13.

Give the rough sketch of the curve y2 = x and the line x = 4 and find the area between the curve and the line.    

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14.

Find the area bounded between the curve y2 = x and the line x = 3. Draw the rough sketch also.    

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15. The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a.
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16.

Find the area of the region bounded by the curve  y = x2 and the line y = 4.

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17.

Find the area of the region bounded by the curve y2 = 4x and the line x = 3.

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18.

Using definite integrals, find the area of the circle x2 + y2 = a2.

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 Multiple Choice QuestionsLong Answer Type

19. Find the area of the region bounded by the ellipse straight x squared over 9 plus straight y squared over 4 space equals space 1.
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 Multiple Choice QuestionsShort Answer Type

20. Find the area of the region bounded by the ellipse straight x squared over 16 plus straight y squared over 9 space equals 1.
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