InterviewSolution
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InterviewSolution
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Find the distances between the following points:R(-3a,a),S(a,-2a) |
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Answer» Solution :`R(-3a,a)` and `S(a,-2A)` Let `R(x_(1),y_(1))` and `S(x_(2),y_(2))` Here `x_(1)=-3a,y_(1)=a,x_(2)=a` and `y_(2)=-2a` By distance formula, `d(R,S)=sqrt([a-(-3a)]^(2)+[-2a-a]^(2))` `=sqrt((a+3a)^(2)+(-3a)^(2))` `sqrt((4a)^(2)+(-3a)^(2))` `=sqrt(16A^(2)+9a^(2))` `=sqrt(25a^(2))=5a` `d(R,S)=5a` |
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