1.6.2 Coordinate geometry of the circle

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Question 18

62%

The points $A (4, a)$ and $B (13, 6)$ lie on a circle. $AB\,$ is a diameter of the circle and has a gradient of $13\displaystyle \frac{1}{3}$ . The circle has equation $x - c)^2 + (y - d)^2 = e$ where $c$ , $d\,$ and $e\,$ are rational numbers.

Find the values of $a$ , $c$ , $d\,$ and $e$ .

[6]

1.6.2 Coordinate geometry of the circle

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Question 18

62%

The points $A (4, a)$ and $B (13, 6)$ lie on a circle. $AB\,$ is a diameter of the circle and has a gradient of $13\displaystyle \frac{1}{3}$ . The circle has equation $x - c)^2 + (y - d)^2 = e$ where $c$ , $d\,$ and $e\,$ are rational numbers.

Find the values of $a$ , $c$ , $d\,$ and $e$ .

[6]

1.6.2 Coordinate geometry of the circle

Question 18

1.6.2 Coordinate geometry of the circle Questions

1.6.2 Coordinate geometry of the circle

Question 18

1.6.2 Coordinate geometry of the circle Questions