Find the area of the triangle ABC bounded by the lines represented by the equations 5x − 2y − 10 = 0, x − y − 9 = 0 and 3x − 4y − 6 = 0, using integration method.

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TextApplications of Integrals in Finding AreaArea Between Two Curves Using IntegrationCBSE PYQ

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Using integration, find the area of the ellipse x²/16 + y²/4 = 1, included between the lines x = – 2 and x = 2.

TextApplications of Integrals in Finding AreaArea Enclosed by Ellipse Using Integration

If A₁ denotes the area of region bounded by y² = 4x, x = 1 and x-axis in the first quadrant and A₂ denotes the area of region bounded by y² = 4x, x = 4, find A₁ : A₂.

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