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MHT CET202016 Oct 2020Morning ShiftMathematicsDifferential EquationsActual

The differential equation of all lines perpendicular to the line 5 x+2 y+7=0 is

Options

  1. A3dy-2dx=0
  2. B2dy-5dx=0
  3. C2dy-3dx=0
  4. D5dy-2dx=0

Correct answer

D. 5dy-2dx=0

Step-by-step solution

(C) Given line 5 x+2 y+7=0 has slope -5 2 . Hence eq. of required line is aligned & y= 2 5 x+c 2 x-5 y+c=0 & 2-5 d y d x =0 2=5 d y d x 2 d x=5 d y 5 d y-2 d x=0 aligned

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