Question

Find the equation of the lines make an angle 60° with

Positive x-axis and at a distance 5√2

Unit measured from the point (4,7) along the line

x-y+3=0​

Answer 1

Answer:

Line AB intersects the y-axis 2 units above origin.

As we know that at y-axis, abscissa (x-coordinate) will be 0 always.

∴ Line AB cuts y-axis at P(0,2)

Also line AB makes an angle of 30° with the x-axis.

∴ Slope of the line =tan30°=

31

As we know that equation of a line passing through (x

0 ,y

0 ) and having slope m is-

(y−y 0 )=m(x−x 0 )

Therefore equation of the line AB is-

(y−2)= 31

(x−0)⇒x− 3

y+2=0

Hence the required answer is x− 3

y+2=0

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Answer 2

Answer:

This picture will help u..