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The equation (x^(2))/(2-lambda)+(y^(2))/...

The equation `(x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0` represents an ellipse if

A

`lambda lt 2`

B

`lambda gt 5`

C

`2 lt lambda lt 5`

D

`lambda lt 5`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

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

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

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

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

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

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

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

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

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

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

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  13. 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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  14. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

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  15. The line passing through the extremity A of the major axis and extremi...

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  16. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

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  17. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

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  18. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

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  19. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

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  20. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

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