Home
Class 12
MATHS
Locus of the middle points of the secant...

Locus of the middle points of the secants drawn through the point `(x_(1),y_(1))` and intercepted by the circle `x^(2)+y^(2) =a^(2)` is ………..

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-x x_(1)-y y_(1)=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (6) (MULTIPLE CHOICE QUESTIONS) |27 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (6) (TRUE AND FALSE) |1 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (5) (MULTIPLE CHOICE QUESTIONS) |32 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

The locus of the middle points of the chords which are parallel to the chord joining (1,1) and (3,2) of the circle x^(2)+y^(2)-5x-y+4=0 is

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is:

Find the locus of the middle points of the chords of contact of tangents to the circle x^(2)+y^(2)=1 drawn from the the circle x^(2)+y^(2)+4x+6y+9=0

Find the middle point of the chord of the circle x^(2)+y^(2)=25 intercepted on the line x-2y=2

The locus of the middle point of the chord of contact of tangents drawn from points lying on the straight line 4x-5y=20 to the circle x^(2)+y^(2)=9is

If the chord of contact of tangents from a point (x_(1),y_(1)) to the circle x^(2)+y^(2)=a^(2) touches the circle (x-a)^(2)+y^(2)=a^(2), then the locus of (x_(1),y_(1)) is

Find the middle point of the chord intercepted on line lx+my+n=0 by circle x^(2)+y^(2)=a^(2)

The sum of the y - intercepts of the tangents drawn from the point (-2, -1) to the hyperbola (x^(2))/(3)-(y^(2))/(2)=1 is

The locus of the middle points of the portions of the tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 intercepted between the axes is 4x^(2)y^(2)=a^(2)y^(2)-b^(2)x^(2) .

locus of the middle point of the chord which subtend theta angle at the centre of the circle S=x^(2)+y^(2)=a^(2)

Home
Profile