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If 4x+y+k=0 is a tangent to the ellipse ...

If `4x+y+k=0` is a tangent to the ellipse `x^(2)+3y^(2)=3` then k = ?

A

7

B

`pm6`

C

`pm5`

D

`pm7`

Text Solution

Verified by Experts

The correct Answer is:
D
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PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

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  2. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

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  3. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

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  4. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

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  5. The eccentricity of the ellipse for which the distance between the dir...

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  6. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

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  7. In are ellispe , the distance between its foci is 6 and its minor axi...

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  8. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

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  9. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

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  10. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

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  11. Identify the type of the conic 3x^(2)-8y^(2)-15x-18y-29=0

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  12. Area of the greatest rectangle inscribed in the ellipse (x^(2))/(16)+(...

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  14. Find the odd man one with respect to the eccentricity of the following...

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  15. Find the position of the point (0,-1) with respect to the circle x^(2)...

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  16. Find the correct statement:

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  17. Find the incorrect statement:

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  18. Find the correct statement:

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  19. Find out the incorrect statement:

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  20. Find the correct pair of statements: (i) The point of intersection o...

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