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The locus of the point of intersection o...

The locus of the point of intersection of perpendicular tangents to the hyperbola `(x^(2))/(25)-(y^(2))/(9)` is:

A

`x^(2)+y^(2)=34`

B

`x^(2)+y^(2)=13`

C

`x^(2)+y^(2)=16`

D

`x^(2)+y^(2)=25`

Text Solution

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The correct Answer is:
C
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PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. The area of the directrix circle of the ellipse (x^(2))/(16)+(y^(2))/(...

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  2. If the length of the latus rectum is half the length of the conjucate ...

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  3. The locus of the point of intersection of perpendicular tangents to th...

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  4. The equation of the tangent to the parabola y^(2)=16x inclined at 60^(...

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  5. The equation of conic with focus (-2,1) and directrix 3x-y+2=0 is:

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  6. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 has the points A and B a...

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  7. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

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

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

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

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

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

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

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

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

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

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

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

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

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