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An ellipse with major and minor axes len...

An ellipse with major and minor axes lengths `2a` and `2b ,` respectively, touches the coordinate axes in the first quadrant. If the foci are `(x_1, y_1)a n d(x_2, y_2)` , then the value of `x_1x_2` and `y_1y_2` is 9a) `a^2` (b) `b^2` (c) `a^2b^2` (d) `a^2+b^2`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

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  3. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

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  4. Consider the hyperbola H, x^(2)-y^(2)=1 and a circle S with centre N(x...

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  5. Let d be the perpendicular distance from the centre of the ellipse x^2...

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  6. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

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  7. A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P ...

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  8. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

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  9. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

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  10. Let any double ordinate P N P ' of the hyperbola (x^2)/(25)-(y^2)/(16)...

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  11. Tangents drawn from the point P(2,3) to the circle x^2 + y^2-8x + 6y...

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  12. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

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  13. If from a point P(0,alpha) , two normals other than the axes are drawn...

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  14. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  15. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

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  16. If the intercepts made by tangent, normal to a rectangular hyperbola x...

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  17. Let the distance between a focus and the corresponding directrix of an...

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  18. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

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  19. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

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  20. If two distinct tangents can be drawn from the Point (alpha,2) on diff...

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