The point on a circle nearest to the poi...

The point on a circle nearest to the point `P(2,1)` is at a distance of 4 units and the farthest point is (6, 5). Then find the equation of the circle.

`(3+sqrt2,2+sqrt2)`

`(2+sqrt2,3+sqrt2)`

`(4+sqrt2,3+sqrt2)`

`(3+sqrt2,4+sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CIRCLE
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|16 Videos
CIRCLE
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|16 Videos
CIRCLE
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos
BIONOMIAL THEOREM
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
COMPLEX NUMBERS
ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

The normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

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 equations of these circles.

A circle having its centre in the first quadrant touches the y-axis at the point (0,2) and passes through the point (1,0). Find the equation of the circle

The radius of a circle is 5 units and it touches the circle x^(2) + y^(2) - 2 x - 4 y - 2 0 = 0 externally at the point (5,5). Find the equation of the circle.

The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation 2x -y -2 =0 . Then the equation of the circle is:

The points P (-2,4) lies on a circle of radius 6 and centre (3,5).

Draw a circle of radius 2.5cm. Take a point P at a distance of 8 cm from its centre. Construct a pair of tangents from the point P to the circle.

Find the equation of the circle which has extremities of a diameter the origin and the point (2, - 4). Find also the equations of the tangents to the circle which are parallel to this diameter

ARIHANT MATHS ENGLISH-CIRCLE -Exercise For Session 2

If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...
Text Solution
|
If one end of a diameter of the circle 2x^(2)+2y^(2)-4x-8y+2=0 is (-1,...
Text Solution
|
If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...
Text Solution
|
A circle passes through the points (-1,3) and (5,11) and its radius is...
Text Solution
|
The radius of the circle, having centre at (2, 1), whose one of the ch...
Text Solution
|
The centre of circle inscribed in a square formed by lines x^2-8x+12...
Text Solution
|
about to only mathematics
Text Solution
|
The locus of the centre of the circle for which one end of the diamete...
Text Solution
|
Find the equation of the circle which passes through (1, 0) and (0, 1)...
Text Solution
|
If the point (2,0) ,(0,1) , ( 4,5) and ( 0,c) are concyclic, then the ...
Text Solution
|
The point on a circle nearest to the point P(2,1) is at a distance of ...
Text Solution
|
The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find eq...
Text Solution
|
Find the equation of the circle the end point of whose diameter are ...
Text Solution
|
If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15...
Text Solution
|
The sides of a rectangle are given by the equations x=-2, x = 4, y=-2 ...
Text Solution
|
Find the equation to the circle which passes through the points (1,2...
Text Solution
|
Find the equation of the circle which passes through the points (3,4),...
Text Solution
|