Home
Class 12
MATHS
The locus of the point the chord of cont...

The locus of the point the chord of contact of tangents from which to the ellipse `(x^2)/(a^2) + (y^2)/(b^2) = 1` subtends a right angle at the centre of the ellipse is .......

Text Solution

Verified by Experts

The correct Answer is:
`(x^2)/(a^4) + (y^2)/(b^4) = 1/(a^2) + (1)/(b^2)`
Promotional Banner

Topper's Solved these Questions

  • THE ELLIPSE

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES)|3 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (3) (True and False)|1 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (Fill in the blanks) |7 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

Similar Questions

Explore conceptually related problems

if the chord of contact of tangents from a point P to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 subtends a right angle at the centre,then the locus of P is

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

Chord of contact of tangents drawn from the point M(h, k) to the ellipse x^(2) + 4y^(2) = 4 intersects at P and Q, subtends a right angle of the centre theta

Prove that the chord of contact of tangents drawn from the point (h,k) to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 will subtend a right angle at the centre, if h^(2)/a^(4)+k^(2)/b^(4)=1/a^(2)+1/b^(2)

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