Let A (h, k), B (1, 1) and C (2, 1) be the vertices of a right angled triangle w

Question

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

Options:

A . {1, 3}

B . {0, 2}

C . {-1, 3}

D . {-3, -2}

Answer: Option C
:
C
Since, A(h, k), B(1, 1) and C (2, 1) are the vertices of a right angled

Δ A B C

Let A (h, K), B (1, 1) And C (2, 1) Be The Vertices Of A Rig...

Now, area of

Δ A B C

= \frac{1}{2} | k - 1 | .1

\Rightarrow 1 = \frac{1}{2} | k - 1 |

\Rightarrow k - 1 = \pm 2

\Rightarrow k = - 1, 3

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