Home
Class 10
MATHS
Find the coordinates of a point A, wher...

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is `(2,\ 3)` and `B` is `(1,\ 4)`.

Text Solution

AI Generated Solution

To find the coordinates of point A, where AB is the diameter of a circle with center O at (2, 3) and point B at (1, 4), we can follow these steps: ### Step 1: Understand the relationship between the points Since AB is the diameter of the circle, the center O is the midpoint of line segment AB. ### Step 2: Use the midpoint formula The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula: \[ ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the coordinates of a point A , here A B is a diameter of the circle whose centre is (2,\ -3) and B(1,\ 4) .

Find the equation of a circle whose centre is (2,-3) and radius 5.

Find the equation of a circle whose centre is (2, 3) and radius is 5.

Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2,\ -1),\ (1,\ 0),\ (4,\ 3) and (1,\ 2) meet.

Find the polar coordinates of the points whose cartesian coordinates are (-3, 4)

Find the coordinates of a point P, which lies on the line segment joining the points A(-2,-3) and B(2. -4) such that AP= 3/7 AB.

Find the coordinates of a point P, which lies on the line segment joining the points A(-2,-3) and B(2. -4) such that AP= 3/7 AB.

Find the coordinates of a point P, which lies on the line segment joining the points A(-2,-3) and B(2. -4) such that AP= 3/7 AB.

If the coordinates of one end of a diameter of a circle are (2,\ 3) and the coordinates of its centre are (-2,\ 5) , then the coordinates of the other end of the diameter are (a) (-6,\ 7) (b) (6,\ -7) (c) (6,\ 7) (d) (-6,\ -7)

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