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Consider the parabola y^2 =4x and the ellipse 2x^2 + y^2 =6, intersecting at P and Q.(a) Find the area enclosed by the parabola and the commonchord of the ellipse and parabola.(b) If tangent and normal at the point P on the ellipse intersect the x-axis at T and G respectively then find the area of the triangle PTG. |
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