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Prove that the equation x^(2)+y^(2)-2x-2...

Prove that the equation `x^(2)+y^(2)-2x-2ay-8=0, a in R ` represents the family of circles passing through two fixed points on x-axis.

A

`(-2, 0),(4, 0)`

B

`(2, 0),(4, 0)`

C

`(-4, 0), (4, 0)`

D

`(2, 0),(-4, 0)`

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A
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -D
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  2. A circle C(1) of radius 2 units rolls o the outerside of the circle C(...

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  3. Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the...

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  4. Consider the family of circles x^(2)+y^(2)-2x-2ay-8=0 passing through...

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  6. Two parabolas C and D intersect at two different points, where C is y ...

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  7. Let C : y =x^(2) -3, D : y = kx^(2) be two parabolas and L(1) : x= a...

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  8. Let C :y = x^(2) -3, D : y = kx^(2) be two parabolas and L(1) : x = ...

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  9. Let P(1) : y^(2) = 4ax and P(2) : y^(2) =-4ax be two parabolas and L :...

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  10. Let P(1) : y^(2) = 4ax and P(2) : y^(2) =-4ax be two parabolas and L :...

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  11. Let P(1) : y^(2) = 4ax and P(2) : y^(2) =-4ax be two parabolas and L :...

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  12. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y...

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  13. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y...

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  14. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y...

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  15. An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through...

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  16. An ellipse E has its center C(3,1), focus at (3,6) and passing through...

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  17. An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through...

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  18. Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three cu...

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  19. Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three cu...

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