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

संबंधित प्रश्‍न

Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.


Find the area of the region bounded by the ellipse  `x^2/16 + y^2/9 = 1.`


Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1.`


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


Find the equation of an ellipse whose latus rectum is 8 and eccentricity is `1/3`


Using integration, find the area of the region {(x, y) : x2 + y2 ≤ 1 ≤ x + y}.


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


Choose the correct alternative :

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 _______.


State whether the following is True or False :

The area bounded by the curve x = g (y), Y-axis and bounded between the lines y = c and y = d is given by `int_"c"^"d"x*dy = int_(y = "c")^(y = "d") "g"(y)*dy` 


Solve the following:

Find the area of the region bounded by the curve x2 = 25y, y = 1, y = 4 and the Y-axis.


State whether the following statement is True or False:

The area of portion lying below the X axis is negative


The area of the region lying in the first quadrant and bounded by the curve y = 4x2, and the lines y = 2 and y = 4 is ______


The area of the region bounded by y2 = 25x, x = 1 and x = 2 the X axis is ______


Find the area of the region bounded by the curve y = (x2 + 2)2, the X-axis and the lines x = 1 and x = 3


Find area of the region bounded by 2x + 4y = 10, y = 2 and y = 4 and the Y-axis lying in the first quadrant


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


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


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


Area under the curve `y=sqrt(4x+1)` between x = 0 and x = 2 is ______.


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


Equation of a common tangent to the circle, x2 + y2 – 6x = 0 and the parabola, y2 = 4x, is:


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


The area bounded by the curve, y = –x, X-axis, x = 1 and x = 4 is ______.


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