The two straight lines $4 x - y + 3 = 0$ and $8 x - 2 y + 6 = 0$

Intersects at the origin

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Are coincident

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Are parallel

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Are perpendicular

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Answer Required

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Are parallel
The straight lines
$4 x - y + 3 = 0$
and
$8 x - 2 y + 6 = 0$
$=> 4 x - y + 3 = 0$
The slope of the lines are equal.
Thus, the lines are parallel.

Suggest Corrections

Similar questions

Q. Classify the following pair of lines as coincident, parallel or intersecting

3 x - 2 y + 5 = 0

2 x + y - 5 = 0

Q. Classify the following pair of lines as coincident, parallel or intersecting

x + 2 y + 1 = 0

2 x + 4 y + 3 = 0

Question 1
Graphically, the pair of equations
6x – 3y + 10 = 0
x – y + 9 = 0
Represents two lines which are
(A) intersecting at exactly one point.
(B) intersecting at exactly two points.
(C) coincident.
(D) parallel.

The line

x + 2 y + a = 0

intersects the circle

x^{2} + y^{2} - 4 = 0

at two distinct points A and B. Another line

12 x - 2 y + 1 = 0

intersects the circle

x^{2} + y^{2} - 4 x - 2 y + 1 = 0

at two distinct points C and D.

The value of

a

for which the four points A, B, C and D are concyclic, is :

x + 2y = 5 and 4x + 4y - 6 = 0 are equations of two lines which intersect at $(- 3, \frac{5}{3})$

Join BYJU'S Learning Program

The two straight lines 4x−y+3=0 and 8x−2y+6=0

The correct option is C Are parallelThe straight lines 4x−y+3=0and 8x−2y+6=0=>4x−y+3=0The slope of the lines are equal.Thus, the lines are parallel.

The two straight lines $4 x - y + 3 = 0$ and $8 x - 2 y + 6 = 0$

The correct option is C Are parallel
The straight lines
$4 x - y + 3 = 0$
and
$8 x - 2 y + 6 = 0$
$=> 4 x - y + 3 = 0$
The slope of the lines are equal.
Thus, the lines are parallel.