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If the point A(a,2) is equidistant …

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If the point A(a,2) is equidistant from the points B(8,-2) andC(2,-2),find the value of a

Posted by Sahil Raj 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 11 months ago

we have that:
AB = AC
so
AB² = AC²
then:
(a-8)² + (2 + 2)² = (a-2)² + (2+2)²
a²- 16a + 64 +16 = a²- 4a + 4 +16
-16a + 64 = -4a + 4
-16a + 4a =4 - 64
-12a = -60;
12a = 60;
a = 60/12 = 5;
a = 5

The value of a is 5.

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