QJEEM07Ma35b8: JEE Main 2007 Mathematics - Class 11 JEEM07Ma35b8 Solution: Let A , B and C be the vertices of a right angled triangle with …

Question

Verified Solution • 2025–26 Session moderate

Let A

\left( {h,k} \right)

, B

\left( {1,1} \right)

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

square unit, then the set of values which

'k'

can take is given by :

Accepted Answer

Given : The vertices of a right angled triangle

A\left( {1,k} \right),

B\left( {1,1} \right)

and

C\left( {2,1} \right)

and area of

\Delta ABC = 1

square unit

AIEEE 2007 Mathematics - Straight Lines and Pair of Straight Lines Question 144 English Explanation

We know that, area of night angled triangle

= {1 \over 2} \times BC \times AB = 1 = {1 \over 2}\left( 1 \right)\left| {\left( {k - 1} \right)} \right|

\Rightarrow \pm \left( {k - 1} \right) = 2 \Rightarrow k = - 1,3

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