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The distance between the points (2,-2)&(-1,x) …

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The distance between the points (2,-2)&(-1,x) is 5 then one of the value of x is

Posted by Kanishk Goyal 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Naveen Sharma 7 years, 3 months ago

Given : A (2,-2) and B(-1,x) and Distance b/w these two is 5

according to distance formula

(x₂-x₁)² + (y₂-y₁)² = d²

=> (-1-2)² + (x+2)² = 25

=> 9 + x² + 4 +4x = 25

=> x² + 4x - 12 = 0

=> x² + 6x -2x - 12 = 0

=> x (x+6) -2(x+6) = 0

=> (x+6) (x-2) = 0

either x + 6 = 0 or x-2=0

so x = -6, 2

0Thank You

ANSWER

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