Find the equation of the circle passing...

Find the equation of the circle passing through the points `A(4,3). B(2,5)` and touching the axis of y. Also find the point P on the y-axis such that the angle APB has largest magnitude.

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 equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

the equation of the circle passing through the point (2,1) and touching y -axis at the origin is

Find the equation of the circle passing through the point (1,9), and touching the line 3x + 4y + 6 = 0 at the point (-2,0) .

Find the equation of the circle passing through the point (-2,1) and touching the line 3x-2y-6=0 at the point (4,3).

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

The circle passing through the point (-1,0) and touching the y -axis at (0,2) also passes through the point:

Find the equation of the circle which passes through the two points (6,4),(8,-4) and has centre on the X-axis

A DAS GUPTA-Circles-EXERCISE

The equation of one of the circles which touch the pair of lines x^2 -...
Text Solution
|
Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...
Text Solution
|
Find the equation of the circle passing through the points A(4,3). B(...
Text Solution
|
A circle touches both the x-axis and the line 4x-3y+4=0. Its centre is...
Text Solution
|
Obtain the equations of the straight lines passing through the point A...
Text Solution
|
The extremities of a diagonal of a rectangle are (-4,4) and (6,-1). A...
Text Solution
|
Tangents are drawn to the circle x^(2) + y^(2) = 12 at the points wher...
Text Solution
|
Find the equation of the tangent to the circle x^2 + y^2 - 80x - 60y +...
Text Solution
|
The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...
Text Solution
|
AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...
Text Solution
|
Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it...
Text Solution
|
Find the coordinates of the point at which the circles x^2-y^2-4x-2y+4...
Text Solution
|
A straight line AB is divided at C so that AC=3CB. Circles are describ...
Text Solution
|
If from any point P on the circle x^2+y^2+2gx+2fy+c=0 tangents are dra...
Text Solution
|
If the chord of contact of the tangents from a point on the circle x^2...
Text Solution
|
If the pole of a straight line with respect to the circle x^(2)+y^(2)=...
Text Solution
|
Tangents are drawn from the point (h,k) to ^circle x^2+y^2 =a^2; Prove...
Text Solution
|
Find the equation of the circle which has for its diameter the chord o...
Text Solution
|
If y=mx be the equation of a chord of the circle prove that the circle...
Text Solution
|
Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of...
Text Solution
|