TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 12 Mathematics Mathematics Part Ii Chapter 10 Vector Algebra

Question 1

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Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Solution

The equation of curve is y² = x
Required area = $integral subscript 1 superscript 4 space straight y space dx space equals space integral subscript 1 superscript 4 square root of straight x space end root dx space equals integral subscript 1 superscript 4 straight x to the power of 1 half end exponent dx$
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TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 12 Mathematics Mathematics Part Ii Chapter 10 Vector Algebra

Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

Find the area under the given curves and given lines:
(i) y = x², x = 1, x = 2 and x-axis
(ii) y - x^4, x = 1, x = 5 and x -axis

Find the area of the region bounded by x² = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region lying in the first quadrant and bounded by y = 4 x², x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by x² = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

Find the area of the region bounded by x² = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

Find the area bounded by the curve y² = 4 a (x-1) and the lines x = 1 and y = 4 a.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

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TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 12 Mathematics Mathematics Part Ii Chapter 10 Vector Algebra

Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y2 = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y2 = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y2 = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

Find the area under the given curves and given lines:(i) y = x2, x = 1, x = 2 and x-axis(ii) y - x4, x = 1, x = 5 and x -axis

Find the area of the region bounded by x2 = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region lying in the first quadrant and bounded by y = 4 x2, x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by x2 = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

Find the area of the region bounded by x2 = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

Find the area bounded by the curve y2 = 4 a (x-1) and the lines x = 1 and y = 4 a.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

Find the area under the given curves and given lines:
(i) y = x², x = 1, x = 2 and x-axis
(ii) y - x^4, x = 1, x = 5 and x -axis

Find the area of the region bounded by x² = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region lying in the first quadrant and bounded by y = 4 x², x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by x² = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

Find the area of the region bounded by x² = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

Find the area bounded by the curve y² = 4 a (x-1) and the lines x = 1 and y = 4 a.