1.3 Coordinate Geometry in the x-y Plane

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Question 78

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

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Question 78

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 78

1.3 Coordinate Geometry in the x-y Plane Questions

1.3 Coordinate Geometry in the x-y Plane

Question 78

1.3 Coordinate Geometry in the x-y Plane Questions