(1) Find the area of the region bounded by the line
x-y = 1
x - axis x = 2 and x = 4 Solution
(2) Find the area of the region bounded by the line
x-y = 1
x - axis , x = - 2 and x = 0 Solution
(3) Find the area of the region by the line
x-2y-12 = 0
and y - axis, y = 2 and y = 5. Solution
(4) Find the area of the region bounded by the line
y = x - 5
and the x - axis between the ordinates x = 3 and x = 7.
(5) Find the area of the region bounded by
x2 = 36y
y - axis , y = 2 and y = 4 Solution
(6) Find the area included between the parabola
y2 = 4ax
and its latus rectum. Solution
(7) Find the area of the region bounded by the ellipse
(x2/9) + (y2/5) = 1
between the two latus rectum. Solution
(8) Find the area of the region bounded by the parabola
y2 = 4x
and the line
2x-y = 4
(9) In the figure given below, the equation of the solid parabola is y = x2 - 3 and the equation of the dashed line is y = 2x. Determine the area of the shaded region.
(10) Determine the area of the shaded region bounded by
y = -x2 + 7x and y = x2 - 5x
(11) In the graph given below, the equation of the parabola is
x = (y-2)2/2
and the equation of the line
y = 6-x.
Determine the area of the shaded region.
(12) Find the common area enclosed by the parabolas
4y2 = 9x
and
3x2 = 16y
(13) Find the area of the circle whose radius is a
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