Two lines y=3x and x=3y intersects each other at

Open in App

Solution

y =3x --- (i)
x = 3y ---- (ii)

Put value of x from (ii) in (i)
y = 3 (3y)
y = 9y
8y=0
y=0

Put this in (i)
x =0

So y=3x and x=3y intersect at (0,0)

Suggest Corrections

Similar questions

Q. Two lines

y = 3 x

and

x = 3 y

intersect each other in ................

Q. The point of intersection of the lines

y = 3 x

and

x = 3 y

is :

At what point do the lines of equations 3x + 2y + 5 = 0 and 2x − 3y − 1 = 0 intersects each other? Find one more point on each of these lines. Prove that these lines are perpendicular.

Q. Two lines

x + 3 y = 0, 3 x + y = 1

meet at

y = x^{2} + x - 10

y = 3 x - 2

The equations above intersect each other at two points.Which of the following is true about both points of intersection?

Join BYJU'S Learning Program

Two lines y=3x and x=3y intersects each other at

y =3x --- (i) x = 3y ---- (ii) Put value of x from (ii) in (i) y = 3 (3y) y = 9y 8y=0 y=0 Put this in (i) x =0 So y=3x and x=3y intersect at (0,0)

y =3x --- (i)
x = 3y ---- (ii)

Put value of x from (ii) in (i)
y = 3 (3y)
y = 9y
8y=0
y=0

Put this in (i)
x =0

So y=3x and x=3y intersect at (0,0)