1.2 Co-ordinate 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]

1.2 Co-ordinate 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]

1.2 Co-ordinate geometry in the x, y plane

Question 36

1.2 Co-ordinate geometry in the x, y plane Questions

1.2 Co-ordinate geometry in the x, y plane

Question 36

1.2 Co-ordinate geometry in the x, y plane Questions