The equation y - 2x = c represents the orthogonal trajectories of the

1.	The equation y - 2x = c represents the orthogonal trajectories of the family of curves givenbySelect one:O a. 2r +y=CO b. 2 - 2y = CO c. 2r – y=CO d. 2 + 2y = Cا
Answer» Answe y=Cx 2 ⇒ x 2 y=C, DIFFERENTIATING x4x 2Y −2xy =0 ⇒y = x2y Replacing DX dd by − dydx , we have y ′ = 2y−x ⇒2ydy+xdx=0 ⇒y 2 + 21 x 2 =constant which REPRESENT a family of ellipses.

The equation y - 2x = c represents the orthogonal trajectories of the family of curves givenbySelect one:O a. 2r +y=CO b. 2 - 2y = CO c. 2r – y=CO d. 2 + 2y = Cا

Answer»

Answe

y=Cx 2

⇒ x 2

y=C,

DIFFERENTIATING

x4x 2Y −2xy

⇒y

= x2y

Replacing

DX dd

by − dydx

, we have y

′

= 2y−x

⇒2ydy+xdx=0

⇒y 2 + 21 x 2

=constant

which REPRESENT a family of ellipses.

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The equation y - 2x = c represents the orthogonal trajectories of the family of curves givenbySelect one:O a. 2r +y=CO b. 2 - 2y = CO c. 2r – y=CO d. 2 + 2y = Cا​

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The equation y - 2x = c represents the orthogonal trajectories of the family of curves givenbySelect one:O a. 2r +y=CO b. 2 - 2y = CO c. 2r – y=CO d. 2 + 2y = Cا