Find points on the x-axis, each of which is at a distance of 10 units from the point A(11, -8).

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Solution

$\sqrt{((x - 11)^{2} + (0 + 8)^{2})} = 10$

Square both sides and expand

$x^{2} - 22 x + 121 + 64 = 100$

$x^{2} - 22 x + 85 = 0$

$(x - 17) (x - 5) = 0$

$x = 17 o r x = 5$

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Similar questions

The points on X-axis at a distance of 10 units from (11, –8) are __________.

Find the coordinates of points on $x - a x i s$ which are at a distance of 17 units from the point (11, -8).

x - a x i s

17

(11, - 8)

B

(- 5, 7)

Find the point on y-axis which is at a distance of $\sqrt{10}$ units from the point (1, 2, 3)

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