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

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

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प्रश्न

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

पर्याय

  • 26 sq.units

  • 3 sq.units

  • `3/26` sq.units

  • `26/3` sq.units

MCQ
रिकाम्या जागा भरा
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उत्तर

Area of the region bounded by the curve x = y2, the positive Y axis and the lines y = 1 and y = 3 is `bb underline(26/3  "sq.units")`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.7: Application of Definite Integration - Q.1 (A)

संबंधित प्रश्‍न

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


Find the area of the region in the first quadrant enclosed by x-axis, line x = `sqrt3` y and the circle x2 + y2 = 4.


Find the area of the region lying in the first quadrant and bounded by y = 4x2x = 0, y = 1 and = 4


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


Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4 , 1), B (6, 6) and C (8, 4).


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


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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`


Find the area of the region bounded by the following curves, the X-axis and the given lines:  2y = 5x + 7, x = 2, x = 8


Find the area of the region bounded by the parabola y2 = 4x and the line x = 3.


State whether the following is True or False :

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


State whether the following is True or False :

The area of the portion lying above the X-axis is positive.


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 ______


Choose the correct alternative:

Area of the region bounded by x = y4, y = 1 and y = 5 and the Y-axis lying in the first quadrant is ______


State whether the following statement is True or False:

The equation of the area of the circle is `x^2/"a"^2 + y^2/"b"^2` = 1


The area of the region bounded by the curve y2 = x and the Y axis in the first quadrant and lines y = 3 and y = 9 is ______


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


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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).


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