Mathematics - Point Question with Solution | TestHub

MathematicsPointGeneral (Distance + section formula)Easy2 minPYQ_2019

MathematicsEasysingle choice

Two sides of a parallelogram are along the lines, $x + y = 3$ and $x - y + 3 = 0 .$ If its diagonals intersect at $(2, 4),$ then one of its vertex is:

Options:

Answer:

Solution:

As $B C ∥ A D \Rightarrow {Slope}_{B C} = {Slope}_{A D}$

Hence, slope of $B C = 1 \Rightarrow \frac{3 - h - 5}{h - 4} = 1$

$\Rightarrow - h - 2 = h - 4 \Rightarrow 2 h = 2 \Rightarrow h = 1$

$∴ B (1, 2)$ and $D (3, 6)$

Stream:JEESubject:MathematicsTopic:PointSubtopic:General (Distance + section formula)

⏱ 2mℹ️ Source: PYQ_2019

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