HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the area of the region included between: y = x² and the line y = 4x

Find the particular solution of the following differential equation:

`"dy"/"dx" - 3"y" cot "x" = sin "2x"`, when `"y"(pi/2) = 2`

Find the area of the region included between: y² = 4ax and the line y = x

Find the particular solution of the following differential equation:

(x + y)dy + (x - y)dx = 0; when x = 1 = y

Find the area of the region included between y = x² + 3 and the line y = x + 3.

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The area bounded by the regional 1 ≤ x ≤ 5 and 2 ≤ y ≤ 5 is given by ______.

Find the particular solution of the following differential equation:

y(1 + log x) = (log x^x) `"dy"/"dx"`, when y(e) = e²

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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