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Triangles between Same Parallels

the area boun...

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the area bounded by the hyperbola x^2-y^2=a^2 between the strait lines x=a and x=2a is given b

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Q. The area bounded by the parabola

x^{2} = 4 a y, x

-axis and the straight line

y = 2 a

Q. Find the area of the smaller region bounded by the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

\frac{x}{a} + \frac{y}{b} = 1

A

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B

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y = \sqrt{3} x

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Area of the triangle formed by the lines x-y=0, x+y=0 and any tangent to the hyperbola
$x^{2} - y^{2} = a^{2}$ is

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