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Length of the axes of the conic 9 x^(2...

Length of the axes of the conic
`9 x^(2)+4 y^(2)-6 x+4y+1=0` are

A

`(1)/(2)`, 9

B

3,` (2)/(5)`

C

1, `(2)/(3)`

D

3,2

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  2. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

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  3. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

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  4. If M(1) and M(2) are the feet of the perpendiculars from the foci S(1)...

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  5. The angle between the pair of tangents drawn from the point (1,2) to t...

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  6. The equation x^(2)+3 y^(2)-9 x+2 y+1=0 represents

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  7. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

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  8. The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(1...

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  9. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

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  10. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

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

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  12. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

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  13. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

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  14. If the latus-rectum of the ellipse is half the minor axis, then its ec...

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  15. If C is the centre and L and L' are the ends of the latus-rectum of th...

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  16. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

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  17. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

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  18. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  19. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

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  20. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

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