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The locus of the point which is such tha...

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` forms a triangle of constant area with the coordinate axes is a straight line (b) a hyperbola an ellipse (d) a circle

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Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 form a triangle of constant area with the coordinate axes.

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 forms a triangle of constant area with the coordinate axes is (a) straight line (b) a hyperbola (c) an ellipse (d) a circle

Find the locus of point P such that the tangents drawn from it to the given ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 meet the coordinate axes at concyclic points.

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

The locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

Prove that the chords of contact of pairs of perpendicular tangents to the ellipse x^2/a^2+y^2/b^2=1 touch another fixed ellipse.

Prove that the chords of contact of pairs of perpendicular tangents to the ellipse x^2/a^2+y^2/b^2=1 touch another fixed ellipse.

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

PA and PB are tangents drawn from a point P to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . The area of the triangle formed by the chord of contact AB and axes of co-ordinates is constant. Then locus of P is:

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. An ellipse is sliding along the coordinate axes. If the foci of the ...

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  2. If S1a n dS2 are the foci of the hyperbola whose length of the transve...

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  3. The locus of the point which is such that the chord of contact of t...

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  4. The equation of conjugate axis of the hyperbola x y-3y-4x+7=0 is y+x=3...

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  5. If Sa n dS ' ' are the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 ,...

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  6. The asymptote of the hyperbola x^2/a^2+y^2/b^2=1 form with ans tangen ...

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  7. Let d1a n dd2 be the length of the perpendiculars drawn from the foci...

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  8. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

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  9. The line x=t^2 meets the ellipse x^2+(y^2)/9=1 at real and distinct ...

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  10. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

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  11. The eccentric angle of a point on the ellipse (x^2)/4+(y^2)/3=1 at a d...

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  12. The center of a rectangular hyperbola lies on the line y=2xdot If one...

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  13. (x-1)(y-2)=5 and (x-1)^2+(y+2)^2=r^2 intersect at four points A, B, C,...

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  14. The eccentricity of the locus of point (2h+2,k), where (h , k) lies on...

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  15. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

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  16. The auxiliary circle of a family of ellipses passes through the ori...

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  17. Four points are such that the line joining any two points is perpendic...

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  18. A man running around a race course notes that the sum of the distances...

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  19. If tangents OQ and OR are dawn to variable circles having radius r and...

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  20. Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...

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