Discussion

Explanation:

P be the point of intersection of the lines 3x + 4y = 2a and 7x + 2y = 2018.

Solving these two equations we get the coordinates of P in terms of a.

∴ P ≡ 4036-2a11,7a-302711

Q the point of intersection of the lines 3x + 4y = 2018 and 5x + 3y = 1

Solving these two equations we get the coordinates of Q.

∴ Q ≡ (-550, 917)

Now slope of line connecting P and Q is 2

7a-302711-9174036-2a11+55021

7a-1311410086-2a = 21

⇒ 11a = 33286

⇒ a = 3026

Hence, option (e).

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