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IPMAT Indore 2022 - QA (MCQ) Q38 Explanation
December 28, 2024
Explanation:
(c)
It is given that the equations represent 3 straight lines. Concurrent lines pass through a single point.
So let us find the coordinates of the point from which first two lines pass.
It can be obtained by solving, equations of first two lines.
x − y − 1 = 0……(1) × 2
2x − 3y + 2 = 0……(2) × 1
2x − 2y − 2 = 0….(3)
2x + 3y − 12 = 0….(4)
solving equations (3)and (4) we let
𝑦 = 2;𝑥 = 3
So, the point (3, 2) should also satisfy the questions of third line, i.e., 2𝑥 − 3𝑦 + 𝑘 = 0
Putting the values of 𝑥 = 3 & y = 2 in it, we put
2 × (3) − 3(2) + 𝑘 = 0
6 − 6 + 𝑘 = 0
∴ k = 0.