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Tangents are drawn from the points on th...

Tangents are drawn from the points on the line `x−y−5=0` to `x^2+4y^2=4`, then all the chords of contact pass through a fixed point, whose coordinate are

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Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line 2x+y-4=0 . The corresponding chord of contact passes through a fixed point whose coordinates are (a) (1/2,1/2) (b) (1/2,1) (c) (1/2,1/4) (d) (1,1/2)

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

If the tangents are drawn from any point on the line x+y=3 to the circle x^2+y^2=9 , then the chord of contact passes through the point. (a) (3, 5) (b) (3, 3) (c) (5, 3) (d) none of these

Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 . Find the equation to their chord of contact and the middle point of this chord of contact.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

From a variable point p on line 2x−y-1=0 pair of tangents are drawn to parabola x^2=8y then chord of contact passes through a fixed point.

If a , b , c are in A . P ., then the straight line ax + 2 by + c = 0 will always pass through a fixed point whose coordinates are _

If two normals to a parabola y^2 = 4ax intersect at right angles then the chord joining their feet pass through a fixed point whose co-ordinates are:

Tangents are drawn from the origin to curve y=sinxdot Prove that points of contact lie on y^2=(x^2)/(1+x^2)

Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find the length that these tangents will intercept on the line x=2.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 ....

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

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

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

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

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

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  7. The locus of the point which is such that the chord of contact of ta...

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  8. A point P moves such that the chord of contact of the pair of tangents...

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  9. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

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  10. Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 wh...

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  11. The locus of the point which divides the double ordinates of the ell...

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  12. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

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  13. Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9...

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  14. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

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  15. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

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  16. If any line perpendicular to the transverse axis cuts the hyperbola (x...

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  17. If the focal distance of an end of the minor axis of an ellipse (ref...

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  18. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

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  19. A normal to the hperbola (X^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

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  20. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

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