InterviewSolution
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InterviewSolution
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LetA(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle withAC as its hypotenuse. If the area of the triangle is 1, then the set ofvalues which k can take is given by(1) `{1,""3}`(2) `{0,""2}`(3) `{-1,""3}`(4) `{-3,-2}` |
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Answer» `AC^2=AB^2+BC^2` `(h-2)^2+(k-1)^2=(h-1)^2+(k-1)^2+1` `h^2-4h+4+k^2-2k+1=h^2-2h+1+k^2-2k+1+1` `-2h=-5+3` `h=1` `A=1/2|(k-1)|xx1=1` `|k-1|=2` `k=1+_2` `=-1,3` option`3(-1,3)` |
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