Home
Class 12
MATHS
Consider the family of circles x^2+y^2-2...

Consider the family of circles `x^2+y^2-2x-2lambda-8=0` passing through two fixed points `Aa n dB` . Then the distance between the points `Aa n dB` is_____

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing through two fixed points Aa n dB . Then the distance between the points Aa n dB is_____

Consider the family of circles x^(2)+y^(2)-2x-2ay-8=0 passing through two fixed points A and B . Also, S=0 is a cricle of this family, the tangent to which at A and B intersect on the line x+2y+5=0 . The distance between the points A and B , is

Consider the family of circles x^(2)+y^(2)-2x-2ay-8=0 passing through two fixed points A and B . Also, S=0 is a cricle of this family, the tangent to which at A and B intersect on the line x+2y+5=0 . If the circle x^(2)+y^(2)-10x+2y=c=0 is orthogonal to S=0 , then the value of c is

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If each circle in the family cuts the circle x^(2)+y^(2)-4x-6y-3=0 , then all the common chords pass through the fixed point which is

Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for different values of a , a system of circles passing through two fixed points lying on the x-axis. Statement 2 : S=0 is a circle and L=0 is a straight line. Then S+lambdaL=0 represents the family of circles passing through the points of intersection of the circle and the straight line (where lambda is an arbitrary parameter).

Show that equation x^2+y^2-2ay-8=0 represents, for different values of 'a, asystem of circles"passing through two fixed points A, B on the X-axis, and find the equation ofthat circle of the system the tangents to which at AB meet on the line x+ 2y + 5 = 0 .

Find the equation of the circle which passes through the points (3,-2)a n d(-2,0) and the center lies on the line 2x-y=3

Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+5=0,lambda being arbitrary, pass through a fixed point. Also find the fixed point.

A line L passing through the point (2, 1) intersects the curve 4x^2+y^2-x+4y-2=0 at the point Aa n dB . If the lines joining the origin and the points A ,B are such that the coordinate axes are the bisectors between them, then find the equation of line Ldot