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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. The length of the transverse axis of the rectangular hyperbola x y=18 ...

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  2. If P is any point on ellipse with foci S1 & S2 and eccentricity is 1/...

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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. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

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  5. The angle between the lines joining origin to the points of intersect...

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  6. the equation of the chord of contact of the pair of tangents drawn to ...

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  7. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

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  8. The equation of the line passing through the center and bisecting the ...

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  9. If P(x1,y1),Q(x2,y2),R(x3,y3) and S(x4,y4) are four concyclic points...

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  10. Let P be any point on any directrix of an ellipse. Then the chords of...

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  11. Suppose the circle having equation x^2+y^2=3 intersects the rectangula...

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  12. The length of the sides of the square which can be made by four per...

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  13. If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...

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  14. The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2)) is normal to the ellise...

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  15. Let C be a curve which is the locus of the point of intersection of li...

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  16. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

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  17. The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at r...

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  18. If the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is inscribed in a rectangle w...

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  19. The chord P Q of the rectangular hyperbola x y=a^2 meets the axis of x...

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  20. If tangents P Q and P R are drawn from a point on the circle x^2+y^2=2...

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