The equation of radical axis of two circ...

The equation of radical axis of two circles is `x + y = 1`. One of the circles has the ends ofa diameter at the points `(1, -3) and (4, 1)` and the other passes through the point (1, 2).Find the equating of these circles.

Topper's Solved these Questions

Circles
A DAS GUPTA|Exercise EXERCISE|122 Videos
Binomial Theorem for Positive Integrel Index
A DAS GUPTA|Exercise Exercise|113 Videos
Circular Functions, Identities
A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a circle whose diameter has end points (4, 3) and (-2, 1).

The equation of the circle passing through the point (1,1)

Find the equation of the circle when the end points of a diameter of the circle are : (2, 3) and (-1, -3)

The length of the diameter of the circle which touches the x-axis at the point (1,0) and passes through the point (2,3)

Find the equation of the circle when the end points of a diameter of the circle are : (3, 4) and (-3, -4)

Equation of circles which pass through the point (1,-2) and (3,-4) and touch the x- axis is

Find the equation of circle whose end points of diameters are given by (2,-1) and (3,4).

A DAS GUPTA-Circles-EXERCISE

For any lambda in R, the locus x² + y² - 2lambdax - 2lambday +lambda²=...
Text Solution
|
Find the equation of the circle which touch the line 2x-y=1 at (1,1) a...
Text Solution
|
The circle for which the points (am^2,2am) and (a/m^2, (-2a)/m) are th...
Text Solution
|
The radius of the circle passing through the point (6,2) and having x ...
Text Solution
|
A circle passes through point (3, sqrt(7/2)) and touches the line-pai...
Text Solution
|
The angle between a pair of tangents from a point P to the circe x^2 +...
Text Solution
|
Let AB be a line segment of length 4 with A on the line y = 2x and B o...
Text Solution
|
The locus of the centre of a circle which touches externally the circl...
Text Solution
|
Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...
Text Solution
|
Find the equation of the circle which passes through the origin and...
Text Solution
|
The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0
Text Solution
|
The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concy...
Text Solution
|
The area of an equilateral triangle inscribed in the circle x^2 + y^2-...
Text Solution
|
The range of values of a such that the angle theta between the pair of...
Text Solution
|
Let A-=(-1,0),B-=(3,0), and P Q be any line passing through (4, 1) hav...
Text Solution
|
(C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...
Text Solution
|
The equation of radical axis of two circles is x + y = 1. One of the ...
Text Solution
|
Find the locus of the centers of the circles x^2+y^2-2x-2b y+2=0 , whe...
Text Solution
|
The range of parameter ' a ' for which the variable line y=2x+a lies b...
Text Solution
|
Let C1and C2 be two circles with C2 lying inside C1 circle C lying ins...
Text Solution
|