Question

5.
Find the equations of the circle for which the points given below are the end points of a diameter.
* a) (1, 2) (4,6
[Ans : x2 + y2 – 5x – 8y + 16 = 0]
*b) (-4, 3), (3, 4)
[Ans : x2 + y2 + x + y - 24 = 0 ]
*c) (7,-3), (3,5)
[Ans : x2 + y2 - 10x - 2y + 6 = 0]
*d) (1, 1), (2, -1)
[Ans : x2 + y2 - 3x + 1 = 0 ]
*e) (0,0), (8,5)
[Ans : x2 + y2 – 8x – 5y = 0]
*f) (3, 1), (2,7)
[Ans : x² + y2 – 5x–8y+13=0]​

Answer 1

Answer:

Find the equations of the circle for which the points given below are the end points of a diameter.

* a) (1, 2) (4,6

[Ans : x2 + y2 – 5x – 8y + 16 = 0]

*b) (-4, 3), (3, 4)

[Ans : x2 + y2 + x + y - 24 = 0 ]

*c) (7,-3), (3,5)

[Ans : x2 + y2 - 10x - 2y + 6 = 0]

*d) (1, 1), (2, -1)

[Ans : x2 + y2 - 3x + 1 = 0 ]

*e) (0,0), (8,5)

[Ans : x2 + y2 – 8x – 5y = 0]

*f) (3, 1), (2,7)

[Ans : x² + y2 – 5x–8y+13=0]