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An ellipse has its centre at (1,-1) and ...

An ellipse has its centre at (1,-1) and semi major axis =8 and it passes through the point (1,3). The equation of the ellipse is `((x+1)^2)/(64)+((y+1)^2)/(16)=1` b. `((x-1)^2)/(64)+((y-1)^2)/(16)=1` c. `((x-1)^2)/(64)+((y+1)^2)/(16)=1` d. `((x+1)^2)/(64)+((y-1)^2)/(16)=1`

A

`((x+1)^(2))/(64)+((y+1)^(2))/(16)=1`

B

`((x-1)^(2))/(64)+((y+1)^(2))/(16)=1`

C

`((x-1)^(2))/(16)+((y+1)^(2))/(64)=1`

D

`((x+1)^(2))/(64)+((y-1)^(2))/(16)=1`

Text Solution

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The correct Answer is:
B
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An ellipse has its centre at (1,-1) and semi major axis =8 and it passes through the point (1,3). The equation of the ellipse is ((x+1)^(2))/(64)+((y+1)^(2))/(16)=1b((x-1)^(2))/(64)+((y-1)^(2))/(16)=1c((x-1)^(2))/(64)+((y-1)^(2))/(16)=1d((x-1)^(2))/(64)+((y-1)^(2))/(16)=1

(x^(2))/(36)+(y^(2))/(16)=1

the centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 , is

Find the area of the ellipse x^(2)/64 + y^(2)/36 = 1 .

OBJECTIVE RD SHARMA-ELLIPSE-Exercise
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  5. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

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  6. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

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  7. if the vertices of an ellipse are (-12,4) and (14,4) and eccentr...

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  8. if the coordinates of the vertices of an ellipse are (-6,1) and (...

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  9. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

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  10. A man running around a race course notes that the sum of the distances...

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  11. Find the angle between the pair of tangents from the point (1,2) to...

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  12. Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

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  13. if the coordinates of the centre , a foucs and adjacent vertex ...

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  14. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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  15. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)...

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  16. The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisec...

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  17. AB is a diameter of x^2 + 9y^2=25. The eccentric angle of A is pi/6 ...

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  18. if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt...

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  19. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

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  20. if theta and phi are eccentric angles of the ends of a pair of ...

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