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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative: Area of the region bounded by y2 = 16x, x = 1 and x = 4 and the X axis, lying in the first quadrant is ______

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प्रश्न

Choose the correct alternative:

Area of the region bounded by y2 = 16x, x = 1 and x = 4 and the X axis, lying in the first quadrant is ______

पर्याय

  • `56/3` sq.units

  • `3/56` sq.units

  • 56 sq.units

  • 63 sq.units

MCQ
रिकाम्या जागा भरा
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उत्तर

`56/3` sq.units

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

संबंधित प्रश्‍न

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


Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line  `x = a/sqrt2`


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


Find the area under the given curve and given line:

y = x2, x = 1, x = 2 and x-axis


Find the area under the given curve and given line:

y = x4, x = 1, x = 5 and x-axis


Sketch the graph of y = |x + 3| and evaluate `int_(-6)^0 |x + 3|dx`


Find the area enclosed between the parabola y2 = 4ax and the line y mx


Find the area of the region bounded by the parabola y2 = 16x and the line x = 4. 


Find the area of the region bounded by the following curves, the X-axis and the given lines:  y = x4, x = 1, x = 5


Find the area of the region bounded by the following curves, the X-axis, and the given lines:

y = `sqrt(6x + 4), x = 0, x = 2`


The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______.


Solve the following :

Find the area of the region bounded by the curve xy = c2, the X-axis, and the lines x = c, x = 2c.


Find the area of the region bounded by y = x2, the X-axis and x = 1, x = 4.


Choose the correct alternative:

Using the definite integration area of the circle x2 + y2 = 16 is ______


Area of the region bounded by the curve x = y2, the positive Y axis and the lines y = 1 and y = 3 is ______


Find area of the region bounded by the curve y = – 4x, the X-axis and the lines x = – 1 and x = 2


Find the area of the region bounded by the curve y = `sqrt(36 - x^2)`, the X-axis lying in the first quadrant and the lines x = 0 and x = 6


The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is ______


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


`int_0^log5 (e^xsqrt(e^x - 1))/(e^x + 3)` dx = ______ 


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


Area enclosed between the curve y2(4 - x) = x3 and line x = 4 above X-axis 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 ______.


The area enclosed by the parabolas x = y2 - 1 and x = 1 - y2 is ______.


The figure shows as triangle AOB and the parabola y = x2. The ratio of the area of the triangle AOB to the area of the region AOB of the parabola y = x2 is equal to ______.


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 ______.


If the area enclosed by y = f(x), X-axis, x = a, x = b and y = g(x), X-axis, x = a, x = b are equal, then f(x) = g(x).


Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0,y = 2 and y = 4.


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