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Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose foci are (8, 3) and (0, 3) and eccentricity is `4/3` .

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To find the equation of the hyperbola with given foci and eccentricity, we can follow these steps: ### Step 1: Find the Center of the Hyperbola The foci are given as (8, 3) and (0, 3). The center of the hyperbola is the midpoint of the line segment joining the foci. \[ \text{Center} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) = \left( \frac{8 + 0}{2}, \frac{3 + 3}{2} \right) = \left( 4, 3 \right) \] ...
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RD SHARMA ENGLISH-HYPERBOLA-All Questions
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  2. Show that the set all points such that the difference of their dist...

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  3. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

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  4. Find the locus of the point of intersection of the lines sqrt(3x)-y...

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  11. Find the equation of the hyperbola, referred to its principal axes o...

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  12. Show that the equation x^2-2y^2-2x+8y-1=0 represents a hyperbola.

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  13. If P is any point on the hyperbola whose axis are equal, prove that...

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  14. Find the equation of the hyperbola whose conjugate axis is 5 and th...

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  15. The foci of a hyperbola coincide with the foci of the ellipse (x^2)...

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  16. If the distance between the foci of a hyperbola is 16 and its eccen...

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  18. Find the equation of the hyperbola whose : focus is (0,3) directrix is...

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  19. Find the equation of the hyperbola whose : focus is (1,1) directrix is...

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  20. Find the equation of the hyperbola whose : focus is (1,1) directrix is...

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