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

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

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प्रश्न

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

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उत्तर

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

संबंधित प्रश्‍न

Using integration find the area of the triangle formed by positive x-axis and tangent and normal of the circle

`x^2+y^2=4 at (1, sqrt3)`


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 the ellipse  `x^2/16 + y^2/9 = 1.`


Area lying in the first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2 is ______.


Find the area between the curves y = x and y = x2


Find the area bounded by the circle x2 + y2 = 16 and the line `sqrt3 y = x` in the first quadrant, using integration.


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(16 - x^2)`, x = 0, x = 4


Find the area of the region bounded by the following curves, the X-axis and the given lines: 2y + x = 8, x = 2, x = 4


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

y = x2 + 1, x = 0, x = 3


Find the area of the region bounded by the following curve, the X-axis and the given line:

y = 2 – x2, x = –1, x = 1


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


Area of the region bounded by x2 = 16y, y = 1 and y = 4 and the Y-axis, lying in the first quadrant is _______.


Choose the correct alternative :

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


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


State whether the following is True or False :

The area bounded by the two cures y = f(x), y = g (x) and X-axis is `|int_"a"^"b" f(x)*dx - int_"b"^"a" "g"(x)*dx|`.


Solve the following :

Find the area of the region bounded by the curve y = x2 and the line y = 10.


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 ______


Choose the correct alternative:

Area of the region bounded by the parabola y2 = 25x and the lines x = 5 is ______


State whether the following statement is True or False:

The area bounded by the curve y = f(x) lies on the both sides of the X-axis is `|int_"a"^"b" "f"(x)  "d"x| + |int_"b"^"c" "f"(x)  "d"x|`


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


Find area of the region bounded by the parabola x2 = 36y, y = 1 and y = 4, and the positive Y-axis


Find the area of the circle x2 + y2 = 16


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


The area of the region bounded by the curve y = sin x and the x-axis in [–π, π] is ______.


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


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