1.

The area of parallelogram formed by the tangents at the ends of conjugate diameters of an ellipse x^2/9+y^2/4=1 is equal to

Answer»

Major axes and minor axes of an ellipse are conjugate diameters.

The tangents at the ends of a pair of conjugate diameters of an ellipse which forms a parallelogram and the area of the parallelogram are constant and are equal to the product of the axis.

If ellipse has an equation x2/a2 + y2/b2 = 1 then,
Area of parallelogram =  4ab

= 4 x 3 x 2 = 24cm2



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