The equation of the line perpendicular to $2 x-3 y+5=0$ and making an intercept 3 with positive Y-axis is

The equation of the line perpendicular to $2 x-3 y+5=0$ and making an intercept 3 with positive Y-axis is
  1. $3 x+2 y-6=0$
  2. $3 x+2 y+6=0$
  3. $3 x+2 y-7=0$
  4. $3 x+2 y-12=0$

Solution

Let the line be $3 x+2 y+\lambda=0$ Putting $x=0, y=\frac{-\lambda}{2}=3$ [given] $\Rightarrow \lambda=-6$ Hence the required line is $3 x+2 y-6=0$

Asked in: MHT CET 2022 (07 Aug Shift 1)

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