The sum of the squares of perpendicular on any tangent of the ellipse x2-a2-y2-b2-1 from two Points on the minor axis each one at a distance of units from the centre is

The correct option is C 2a2 PA^2+QB^2 = a^2+a^2 = 2a^2 ...

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Standard XI

Mathematics

Combination Based on Geometry

The sum of th...

Question

The sum of the squares of perpendicular on any tangent of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}$ = 1 from two Points on the minor axis each one at a distance of units from the centre is

a²

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b²

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2a²

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2b²

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Solution

The correct option is C
2a²

$P A^{2} + Q B^{2}$ = $a^{2} + a^{2}$ = $2 a^{2}$

\)

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The sum of the squares of perpendicular on any tangent of the ellipse x2a2+y2b2 = 1 from two Points on the minor axis each one at a distance of units from the centre is

The correct option is C 2a2 PA2+QB2 = a2+a2 = 2a2 \)

The sum of the squares of perpendicular on any tangent of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}$ = 1 from two Points on the minor axis each one at a distance of units from the centre is

The correct option is C
2a²

$P A^{2} + Q B^{2}$ = $a^{2} + a^{2}$ = $2 a^{2}$

\)