हिंदी

Choose the correct alternative: Area of the region bounded by the curve x2 = 8y, the positive Y-axis lying in the first quadrant and the lines y = 4 and y = 9 is ______

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प्रश्न

Choose the correct alternative:

Area of the region bounded by the curve x2 = 8y, the positive Y-axis lying in the first quadrant and the lines y = 4 and y = 9 is ______

विकल्प

  • `(76sqrt(2))/3` sq.units

  • `(76sqrt(2))/2` sq.units

  • `(38sqrt(2))/3` sq.units

  • `76sqrt(2)` sq.units

MCQ
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उत्तर

`(76sqrt(2))/3` sq.units

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अध्याय 1.7: Application of Definite Integration - Q.1 (A)

संबंधित प्रश्न

Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is ______.


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


Find the area of the region {(x, y) : y2 ≤ 4x, 4x2 + 4y2 ≤ 9}


Find the area of the region. 

{(x,y) : 0 ≤ y ≤ x2 , 0 ≤ y ≤ x + 2 ,-1 ≤ x ≤ 3} .


Find the area of the region bounded by the following curves, the X-axis and the given lines: y = `sqrt(16 - x^2)`, x = 0, x = 4


Area of the region bounded by y = x4, x = 1, x = 5 and the X-axis is _______.


Using definite integration, area of the circle x2 + y2 = 49 is _______.


The area bounded by the parabola x2 = 9y and the lines y = 4 and y = 9 in the first quadrant is ______


The area of the circle x2 + y2 = 16 is ______


The area of the region x2 = 4y, y = 1 and y = 2 and the Y axis lying in the first quadrant is ______


The area enclosed between the curve y = loge(x + e) and the coordinate axes is ______.


`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ________.


Area bounded by the curve xy = 4, X-axis between x = 1, x = 5 is ______.


The area of the region bounded by the X-axis and the curves defined by y = cot x, `(pi/6 ≤ x ≤ pi/4)` is ______.


If a2 + b2 + c2 = – 2 and f(x) = `|(1 + a^2x, (1 + b^2)x, (1 + c^2)x),((1 + a^2)x, 1 + b^2x, (1 + c^2)x),((1 + a^2)x, (1 + b^2)x, 1 + c^2x)|` then f(x) is a polynomial of degree


The area of the circle `x^2 + y^2 = 16`, exterior to the parabola `y = 6x`


The slope of a tangent to the curve y = 3x2 – x + 1 at (1, 3) is ______.


The area of the region bounded by the curve y = x2, x = 0, x = 3, and the X-axis is ______.


If area of the region bounded by y ≥ cot( cot–1|In|e|x|) and x2 + y2 – 6 |x| – 6|y| + 9 ≤ 0, is λπ, then λ is ______.


Area bounded by y = sec2x, x = `π/6`, x = `π/3` and x-axis is ______.


The area (in sq. units) of the region {(x, y) : y2 ≥ 2x and x2 + y2 ≤ 4x, x ≥ 0, y ≥ 0} is ______.


The area bounded by the curve | x | + y = 1 and X-axis is ______.


What is the area of an arbitrary elementary vertical strip of height \[y\] and width \[dx\]?


Why is \[y\] taken as positive for the region AOBA of the ellipse \[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]?


Why is the area enclosed by \[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\] written as \[4\int_0^a y\,dx\]?


Which antiderivative is used in evaluating \[\int \sqrt{a^2-x^2}\,dx\] for the ellipse area?


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