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  4. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which ‘k’ can take is given by

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Q. Let $A(h, k), B(1, 1)$ and $C(2, 1)$ be the vertices of a right angled triangle with $AC$ as its hypotenuse. If the area of the triangle is $1$, then the set of values which $‘k’$ can take is given by

AIEEEAIEEE 2007Straight Lines

Solution:

$\frac{1}{2}\times1\left(k-1\right)=\pm1$
$k − 1 = \pm 2$
$k=3$
$k=-1$

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