QJEEM19Mad5ed: JEE Main 2019 Mathematics - Class 11 JEEM19Mad5ed Solution: Two sides of a parallelogram are along the lines, x + y = 3 & x …

Question

Verified Solution • 2025–26 Session moderate

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

Accepted Answer

Solving

\begin{matrix} x + y = 3 \\ x - y = - 3 \end{matrix} > A (0, 3)

and

{{{x_1} + 0} \over 2} = 2;\,\,{x_i} = 4

similarly y₁ = 5

C

\Rightarrow

(4, 5)

Now equation of BC is x

-

y =

-

1

and equation of CD is x + y = 9

Solving x + y = 9 and x

-

y =

-

3

Point D is (3, 6)

Step-by-Step Verified Solution