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The line x+y=a will be a tangent to the ...

The line `x+y=a` will be a tangent to the ellipse `(x^(2))/(9)+(y^(2))/(16)=1`, if a=

A

8

B

`pm 5`

C

`pm10`

D

`pm 6`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The equation x^(2)+3 y^(2)-9 x+2 y+1=0 represents

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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