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Question
The differential equation of all lines perpendicular to the line 5x + 2y + 7 = 0 is ____________.
Options
2dy − 5dx = 0
5dy − 2dx = 0
2dy − 3dx = 0
3dy − 2dx = 0
MCQ
Fill in the Blanks
Solution
The differential equation of all lines perpendicular to the line 5x + 2y + 7 = 0 is 5dy − 2dx = 0.
Explanation:
Given, line 5x + 2y + 7 = 0
Equation of all line perpendicular to given lines is
2x − 5y = λ
On differentiating w.r.t. x, we get
2dx − 5dy = 0
5dy − 2dx = 0
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Formation of Differential Equations
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