1.3 Coordinate geometry in the (x, y) plane

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Question 36

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]

1.3 Coordinate geometry in the (x, y) plane

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Question 36

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]

1.3 Coordinate geometry in the (x, y) plane

Question 36

1.3 Coordinate geometry in the (x, y) plane Questions

1.3 Coordinate geometry in the (x, y) plane

Question 36

1.3 Coordinate geometry in the (x, y) plane Questions