HSC Science (General) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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The area of the region enclosed by the curve y = `(1)/x`, and the lines x = e, x = e² is given by

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The area bounded by the curve y = x³, the X-axis and the lines x = – 2 and x = 1 is

The area enclosed between the parabola y² = 4x and line y = 2x is ______.

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The area of the region bounded between the line x = 4 and the parabola y² = 16x is ______.

Find the particular solution of the following differential equation:

`2e ^(x/y) dx + (y - 2xe^(x/y)) dy = 0," When" y (0) = 1`

The area of the region bounded by y = cos x, Y-axis and the lines x = 0, x = 2π is ______.

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The area bounded by the parabola y² = 8x, the X-axis and the latus rectum is

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The area under the curve y = `2sqrt(x)`, enclosed between the lines x = 0 and x = 1 is

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The area of the circle x² + y² = 25 in first quadrant is 

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The area of the region bounded by the ellipse `x^2/a^2 + y^2/b^2` = 1 is

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The area bounded by the parabola y² = x and the line 2y = x is

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The area enclosed between the curve y = cos 3x, 0 ≤ x ≤ `pi/(6)` and the X-axis is

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The area bounded by y = `sqrt(x)` and the x = 2y + 3, X-axis in first quadrant is

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The area bounded by the ellipse `x^2/a^2  y^2/b^2` = 1 and the line `x/a + y/b` = 1 is

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

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The area enclosed between the two parabolas y² = 4x and y = x is

The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is ______.

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The area of the region bounded by x² = 16y, y = 1, y = 4 and x = 0 in the first quadrant, is

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The area of the region included between the parabolas y² = 4ax and x² = 4ay, (a > 0) is given by

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The area of the region included between the line x + y = 1 and the circle x² + y² = 1 is