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ORDER BY `video_id` desc Application of Integrals 12th Standard CBSE Maths Find the area of the region by the curve \(y=\frac { 1 }{ x } \) , x-axis and between x = 1, x = 4. Find the area of the region bounded by the curve y2 = x and the lines x = 1 , x = 4 and the x - axis. The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a. Using integration, find the area of the triangular region whose sides have the equations: Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is : Find the area under the given curves and given lines : Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0, y = 1 and y = 4. Find the area of the smaller region bounded by the ellipse \(\frac { { x }^{ 2 } }{ { a }^{ 2 } } +\frac { { y }^{ 2 } }{ { b }^{ 2 } } =1\) and the line \(\frac { x }{ a } +\frac { y }{ b } =1\) Find the area of the region bounded by the curve ay2 = x3 , the y - axis and the lines y = a and y = 2a. Find the area of the region bounded by the parabola y2 = 2x and the straight line x - y = 4. Using the method of integration, find the area of the region bounded by the lines: Find the area included between the curves y2 = 4ax and x2 = 4ay, a > 0. Find the area bounded by the curve y = sin x between x = 0 and x = 2\(\pi\). Find the area of the region bounded by the ellipse \(\frac { { x }^{ 2 } }{ 16 } +\frac { { y }^{ 2 } }{ 9 } =1\) Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line \(x=\frac { a }{ \sqrt { 2 } } \) Find the area of the following region: \(\left\{ \left( x,y \right) :{ x }^{ 2 }+{ y }^{ 2 }\le 2ax,{ y }^{ 2 }\ge ax,x\ge 0,y\ge 0 \right\} \) . Find the area of the smaller region bounded by the ellipse \(\frac { { x }^{ 2 } }{ 9 } +\frac { { y }^{ 2 } }{ 4 } =1\) and the straight line \(\frac { { x } }{ 3 } +\frac { y }{ 2 } =1\) . Using integration, find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2+y2 = 18. Using integration, find the area of the triangle ABC, where A is (2, 3), B is (4, 7) and C is (6, 2). Using integration, find the area of the region given by {(x, y) : (x2 ≤ y ≤ |x| ) }
12th Standard CBSE Mathematics Unit 8 Application of Integrals Model Question Paper
Shalini Sharma - Udaipur Aug-05 , 2019
Application of Integrals Model Questions
Reg.No. :
y = 2x + 1, y = 3x + 1and x = 4.
(A) \(2(\pi -2)\)
(B) \(\pi -2\)
(C) \(2\pi -1\)
(D) \(2(\pi +2)\)
y = x4, x = 1, x = 5 and x - axis.
3x - 2y + 1 = 0, 2x + 3y - 21 = 0 and x - 5y + 9 = 0
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