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The equation of the ellipse whose vertic...

The equation of the ellipse whose vertices are (-4,1) and (6,1) and a focus lies on` x-2 y-2`=0 is

A

`((x-1)^(2))/(25)+((y-1)^(2))/(16)=1`

B

`((x+1)^(2))/(25)+((y+1)^(2))/(16)=1`

C

`((x-1)^(2))/(16)+((y-1)^(2))/(25)=1`

D

`((x-1)^(2))/(25)+((y-1)^(2))/(9)=1`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  3. The equation of the ellipse whose vertices are (-4,1) and (6,1) and a ...

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  4. If y=m x+c is a tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then b^(2...

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  5. The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at

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  7. If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))...

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  8. The number of values of c such that the line y=4 x+c touches the curve...

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  9. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  10. The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the p...

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  11. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  12. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

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  13. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

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  14. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

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  15. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

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  16. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

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  17. The tangent of the ellipse x^(2)+5 y^(2)=14 at (3,-1) is given by

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  18. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

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  19. The tangent making an angle 60^(circ) with the major axis and touching...

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  20. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

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