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$The acute angle between the two line passing through the origin and satisfying the differential$
$equation (4 x - 3 y) d x + (2 y - 3 x) d y = 0$

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θ=tan−113

θ=tan−123

θ=π2

θ=00

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detailed solution

Correct option is A

4xdx+2ydy−3ydx+xdy=04xdx+2ydy−3d(xy)=02x2+y2-3xy=c(0,0)⇒c=0 hence (x−y)(2x−y)=0θ=tan−113 since tanθ=m1-m21+m1m2

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The acute angle between the two line passing through the origin and satisfying the differential equation (4x−3y)dx+(2y−3x)dy=0

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$The acute angle between the two line passing through the origin and satisfying the differential$
$equation (4 x - 3 y) d x + (2 y - 3 x) d y = 0$