Home
Class 12
MATHS
Find the locus of point P such that the ...

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.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)-y^(2)=a^(2)-b^(2)`
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)|47 Videos

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)|20 Videos

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-I)|15 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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 an ellipse (d) a circle

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

Find the equations of the tangents drawn from the point (2,3) to the ellipse 9x^(2)+16y^(2)=144

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P is

Tangents are drawn from the point P(3,4) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 touching the ellipse at points A and B.

Suppose the lines x-2y+1=0mx+y+3=0' meet the coordinate axes in concyclic points then

The locus of the middle point of the a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is the curve

The locus of mid points of parts in between axes and tangents of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 will be