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An ellipse is drawn with major and minor...

An ellipse is drawn with major and minor axis of length ` 10` and `8` respectively. Using one focus a centre, a circle is drawn that is tangent to ellipse, with no part of the circle being outside the ellipse. The radius of the circle is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the chords of contact of tangents from two poinst (x1, y1) and ...

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

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

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

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

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

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

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

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

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

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

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

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  13. Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 jo...

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  14. Prove that the chords of contact of pairs of perpendicular tangents to...

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  15. Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 ....

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  16. Find the locus of the point of intersection of tangents to the elli...

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  17. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

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  18. If from a point P , tangents PQ and PR are drawn to the ellipse (x^2...

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  19. Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  20. Find the locus of a point P(alpha, beta) moving under the condition th...

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