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Question: Answered & Verified by Expert
Let $A(h, k), B(1,1)$ and $C(2,1)$ be the vertices of a right angled triangle with $A C$ as its hypotenuse. If the area of the triangle is $1$, then the set of values which ' $\mathrm{k}$ ' can take is given by
MathematicsStraight LinesJEE MainJEE Main 2007
Options:
  • A
    $\{1,3\}$
  • B
    $\{0,2\}$
  • C
    $\{-1,3\}$
  • D
    $\{-3,-2\}$
Solution:
1147 Upvotes Verified Answer
The correct answer is:
$\{-1,3\}$
$\frac{1}{2} \times 1(k-1)=\pm 1$
$k-1=\pm 2$
$k=3$
$k=-1$

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