The product of perpendiculars from any point P - on the hyperbola x 2-4- y 2-9-1 to its asymptotes is equal to-A- 6-5C- 36-13D- Depending on -

The correct option is C The product of perpendiculars from any point P (θ ) on the hyperbola x^2/a^2 y^2/b^2 = 1 to its asymptotes is equal toa^2b^2/a^2+b^2 ...

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Standard XII

Physics

Work Done as Dot Product

The product o...

Question

The product of perpendiculars from any point P $(θ)$ on the hyperbola $\frac{x^{2}}{4} - \frac{y^{2}}{9}$ = 1to its asymptotes is equal to:

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Solution

The correct option is B
The product of perpendiculars from any point P $(θ)$ on the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}}$ = 1 to its asymptotes is equal to $\frac{a^{2} b^{2}}{a^{2} + b^{2}}$

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Q. Prove that the product of perpendiculars from any point on the hyperbola

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Q. If

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are the perpendiculars from any point on the hyperbola

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The product of perpendiculars from any point P (θ) on the hyperbola x24−y29 = 1to its asymptotes is equal to:

The correct option is B The product of perpendiculars from any point P (θ) on the hyperbola x2a2−y2b2 = 1 to its asymptotes is equal toa2b2a2+b2

The product of perpendiculars from any point P $(θ)$ on the hyperbola $\frac{x^{2}}{4} - \frac{y^{2}}{9}$ = 1to its asymptotes is equal to:

The correct option is B
The product of perpendiculars from any point P $(θ)$ on the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}}$ = 1 to its asymptotes is equal to $\frac{a^{2} b^{2}}{a^{2} + b^{2}}$