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If any tangent to the ellipse (x^2)/(a^2...

If any tangent to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` intercepts equal lengths `l` on the axes, then find `l`.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

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  2. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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  3. If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts e...

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  4. Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...

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  5. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  6. If F1 and F2 are the feet of the perpendiculars from the foci S1a ...

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  7. If the tangent at any point of the ellipse (x^2)/(a^3)+(y^2)/(b^2)=1 m...

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  8. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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  9. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=...

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  10. If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) m...

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  11. Chords of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 are drawn through the...

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  12. Find the locus of the middle points of all chords of (x^2)/4+(y^2)/...

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  13. Tangents P Qa n dP R are drawn at the extremities of the chord of ...

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  14. If the chords of contact of tangents from two poinst (x1, y1) and ...

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  15. From the point A(4,3), tangent are drawn to the ellipse (x^2)/(16)...

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  16. An ellipse is drawn with major and minor axis of length 10 and 8 resp...

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  17. Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

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  18. Find the equation of an ellipse whose axes are the x-and y-axis and...

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  19. If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

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  20. An arc of a bridge is semi-elliptical with the major axis horizonta...

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