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The number of tangents to (x^(2))/(25)+(...

The number of tangents to `(x^(2))/(25)+(y^(2))/(9)=1` through (1,1) is

A

0

B

1

C

2

D

3

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The correct Answer is:
A
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{:("List"-I,"List"-II),("The number of rational points on the ellipse" (x^(2))/(9)+(y^(2))/(4)=1,4),("The number of integral points on the ellipse" (x^(2))/(9)+(y^(2))/(4)=1,2),("The number of integral points on the ellipse" (x^(2))/(3)+(y^(2))/(1)=1,infty):}

AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. The equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which ar...

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  2. The point of contact 4x-5y+25=0 with the ellipse 9x^(2)+25y^(2)=225 is

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  3. The number of tangents to (x^(2))/(25)+(y^(2))/(9)=1 through (1,1) is

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  4. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

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  5. The radius of the director circle of 16x^(2)+9y^(2)=144 is

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  6. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

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  7. The equation to the auxiliary circle of (x^(2))/(12)+(y^(2))/(18)=1 is

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  8. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

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  9. The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) ...

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  10. If a gt b and e is the eccentricity of the ellipse then the equation ...

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  11. If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))...

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  12. The equation to the locus of point of intersection of lines y-mx=sqr...

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  13. The number of tangents that can be drawn to an ellipse perpendicular t...

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  14. If the chords of contact of tangents from two points to the ellipse ar...

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  15. The mid point of the chord 3x - 2y + 8 = 0 of the ellipse 3x^(2) + 4y^...

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  16. The distance of a point on the ellipse x^(2) + 3y^(2) = 6 from its cen...

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  17. The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...

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  18. The equation of the normal to the ellipse at the point whose eccentri...

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  19. P is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 S and S...

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  20. If the chord joining two points whose eccentric angles are alpha and ...

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