Home
Class 12
MATHS
Let A(3, 7) and B(6, 5) are two points. ...

Let A(3, 7) and B(6, 5) are two points. `C:x^(2)+y^(2)-4x-6y-3=0` is a circle.
Q. The chords in which the circle C cuts the members of the family S of circle passing through A and B are concurrent at:

A

(2, 3)

B

`(2, (23)/(3))`

C

`(3, (23)/(2))`

D

(3, 2)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 4 : Matching Type Problems|2 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 5 : Subjective Type Problems|13 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 2 : One or More than One Answer is/are Correct|10 Videos

  • BIONMIAL THEOREM

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|15 Videos

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

Similar Questions

Explore conceptually related problems

Let A(3, 7) and B(6, 5) are two points. C:x^(2)+y^(2)-4x-6y-3=0 is a circle. Q. If O is the origin and P is the center of C, then absolute value of difference of the squares of the lengths of the tangents from A and B to the circle C is equal to :

If x^(2)+y^2-4x+6y+c=0 represents a circle with radius 6 then 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 two fixed points A(3,7)&B(6,5) then the chords in which the circle x^(2)+y^(2)-4x-6y-3=0 cuts the members of the family are concurrent at a point.Find the coordinates of this point.

Consider the circle x^2+y^2-10x-6y+30=0. Let O be the centre of the circle and tangent at A(7,3) and B(5, 1) meet at C. Let S=0 represents family of circles passing through A and B, then

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

A system of circles pass through (2,3) and have their centres on the line x+2y-7=0. Show that the chords in which the circles of the system intersects the circle x^(2)+y^(2)-8x+6y-9=0 are concurrent and also find the point of concurrency.

Statement-1: If limiting points of a family of co-axial system of circles are (1, 1) and (3, 3), then 2x^(2)+2y^(2)-3x-3y=0 is a member of this family passing through the origin. Statement-2: Limiting points of a family of coaxial circles are the centres of the circles with zero radius.

Tangents drawn from P(1,8) to the circle x^(2)+y^(2)-6x-4y-11=0 touches the circle at the points A and B, respectively.The radius of the circle which passes through the points of intersection of circles x^(2)+y^(2)-2x-6y+6=0 and x^(2)+y^(2)-2x-6y+6=0 the circumcircle of the and interse Delta PAB orthogonally is equal to