1

IIT-JEE 1978

Subjective
The area of a triangle is $$5$$. Two of its vertices are $$A\left( {2,1} \right)$$ and $$B\left( {3, - 2} \right)$$. The third vertex $$C$$ lies on $$y = x + 3$$. Find $$C$$.

Answer

$$\left( {{{ - 3} \over 2},{3 \over 2}} \right)$$ 0r $$\left( {{{ 7} \over 2},{13 \over 2}} \right)$$
2

IIT-JEE 1978

Subjective
A straight line segment of length $$\ell $$ moves with its ends on two mutually perpendicular lines. Find the locus of the point which divides the line segment in the ratio $$1 : 2$$

Answer

$$9{x^2} + 36{y^2} = 4{\ell ^2}$$

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