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

Choose the correct alternative: Area of the region bounded by the parabola y2 = 25x and the lines x = 5 is ______ - Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • `(75sqrt(5))/2` sq.units

  • `(20sqrt(5))/3` sq.units

  • `(100sqrt(5))/3` sq.units

  • `(75sqrt(5))/3` sq.units

MCQ
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उत्तर

`(100sqrt(5))/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

Using integration find the area of the region {(x, y) : x2+y2 2ax, y2 ax, x, y  0}.


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


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 of the region bounded by the parabola y = x2 and y = |x| .


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


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


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


Draw a rough sketch and find the area bounded by the curve x2 = y and x + y = 2.


Fill in the blank :

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


If the curve, under consideration, is below the X-axis, then the area bounded by curve, X-axis and lines x = a, x = b is positive.


Choose the correct alternative:

Area of the region bounded by the curve y = x3, x = 1, x = 4 and the X-axis 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 y2 = 16x, x = 1 and x = 4 and the X axis, lying in the first quadrant is ______


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 ______


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 parabola y2 = 25x and the line x = 5


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 the parabola x2 = 36y, y = 1 and y = 4, and the positive Y-axis


If `int_0^(pi/2) log (cos x) "dx" = - pi/2 log 2,` then `int_0^(pi/2) log (cosec x)`dx = ?


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


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


Area in first quadrant bounded by y = 4x2, x = 0, y = 1 and y = 4 is ______.


Area bounded by the curves y = `"e"^(x^2)`, the x-axis and the lines x = 1, x = 2 is given to be α square units. If the area bounded by the curve y = `sqrt(ℓ "n"x)`, the x-axis and the lines x = e and x = e4 is expressed as (pe4 – qe – α), (where p and q are positive integers), then (p + q) 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 ______.


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