Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralEasy2 minQB

MathematicsEasyinteger

If P and Q are the ends of a pair of conjugate diameters and C is the centre of the ellipse $4 x^{2} + 9 y^{2} = 36$ then the area of $△ CPQ$ in square units.

Answer:

Solution:

The equation is $\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ , so $P = (3 cos θ, 2 sin θ)$ and $Q = (3 cos (\frac{π}{2} + θ), 2 sin (\frac{π}{2} + θ))$ .

area of $Δ CPQ$

$\frac{1}{2} 0 3 cos θ - 3 sin θ 0 2 sin θ 2 cos θ 111 = 3$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: QB

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