Home
Class 12
MATHS
Let ax +by+c=0 be a given line. From po...

Let `ax +by+c=0` be a given line. From points on this line tangents are drawn to `x^(2)+y^(2)=r^(2)`. Then the chord of contact of tangents passes through a point .............

Text Solution

Verified by Experts

The correct Answer is:
`(-(ar^(2))/(c )-(b r^(2))/(c ))`
Promotional Banner

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

From,a point on line y=x+k ,tangents are drawn to (x^(2))/(2)-(y^(2))/(1)=1 such that chords of contact pass through a fixed point (a,b) then (a)/(b)=

From every point on the line x+y=4 ,tangents are drawn to circle x^(2)+y^(2)=4 .Then,all chord of contact passes through (x_(1),y_(1)),x_(1)+y_(1)=

Tangents are drawn from points on the line x-y+2=0 to the ellipse x^(2)+2y^(2)=4 then all the chords of contact pass through the point

Tangents are drawn from the points on the line x-y-5=0 ot x^(2)+4y^(2)=4 . Prove that all the chords of contanct pass through a fixed point

Tangents are drawn from the points on the line x-y-5=0 to x^(2)+4y^(2)=4. Then all the chords of contact pass through a fixed point. Find the coordinates.

From a point on the line x-y+2-0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

From points on the straight line 3x-4y+12=0, tangents are drawn to the circle x^(2)+y^(2)=4. Then,the chords of contact pass through a fixed point.The slope of the chord of the circle having this fixed point as its mid- point is

From points on the circle x^2+y^2=a^2 tangents are drawn to the hyperbola x^2-y^2=a^2 . Then, the locus of mid-points of the chord of contact of tangents is:

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is