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find λ if the distance between (λ,1)and (1,-λ) is 2root5

find λ if the distance between (λ,1)and (1,-λ) is 2root5
 

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
Dear Nikhi
 
using distance formula
 
\large \sqrt(\large \lambda –1)2 + (1+ \large \lambda)2 = 2 \large \sqrt5
 
\large \sqrt(2 \large \lambda2 + 2) = 2 \large \sqrt5
on squaring both the sides
(2 \large \lambda2 + 2) = 20
 \large \lambda2 = 18/2 = 9
 \large \lambda = + 3 and  – 3
 
Regards
Arun (askIITians forum expert)

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