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Two perpendicular tangents drawn to the ellipse `(x^2)/(25)+(y^2)/(16)=1` intersect on the curve.

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On which curve does the perpendicular tangents drawn to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 intersect?

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If F_1 and F_2 are the feet of the perpendiculars from the foci S_1a n dS_2 of the ellipse (x^2)/(25)+(y^2)/(16)=1 on the tangent at any point P on the ellipse, then prove that S_1F_1+S_2F_2geq8.

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If from a point P(0,alpha) , two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 such that |alpha| < k then the value of 4k is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If F1 and F2 are the feet of the perpendiculars from the foci S1a ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. An ellipse has O B as the semi-minor axis, F and F ' as its foci, ...

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  17. P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' ...

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  18. Prove that the curve represented by x=3(cost+sint),y=4(cost-sint),t in...

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  19. Find the center, foci, the length of the axes, and the eccentricity...

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  20. If C is the center and A ,B are two points on the conic 4x^2+9y^...

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