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Find the point on x-axis which …

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Find the point on x-axis which is equidistant from points (-1,0) and (5,0)

Posted by Pranjal Rai 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Let A(x,o) be any point on the X-axis , which is equidistant from points (-1,0) and (5,0).

{tex}\Rightarrow (x+1)^2=(x-5)^2{/tex}

⇒ x² + 2x + 1 = x² - 10x + 25
⇒ 2x + 1 = -10x + 25
⇒ 2x + 10x = 25 - 1
⇒ 12x = 24
⇒ x = 24/12
{tex}\Rightarrow x= 2{/tex}

Therefore , Required point is (2,0).

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CBSE > Class 10 > Mathematics