The equation of the line passing through the point 2 3 and the point of intersection of lines 2x nbs...........

Mathematics (NDA) Coordinate Geometry

The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x − 3y + 7 = 0 and 7x + 4y + 2 = 0 is -

21x + 46y − 180 = 0

21x − 46y + 96 = 0

46x + 21y − 155 = 0

46x − 21y − 29 = 0

Equation of line passing through intersection of 2x – 3y + 7 = 0 and 7x + 4y + 2 = 0 is:

(2x – 3y + 7)+ λ(7x + 4y + 2) = 0 →(1)

This line passes through (2,3)

∴ (4 – 9 + 7) + λ(14 + 12 + 2) = λ = - 1/14

Putting in (1):

21 x – 41 y + 96 = 0

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