Find the equation of the line passing through the point $(2, 3)$ and perpendicular to the straight line $4 x - 3 y = 10.$

3 x + 4 y = 18

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

3 x - 4 y = 18

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

3 x + 4 y = - 18

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

4 x - 3 y = - 18

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

Open in App

Solution

The correct option is A $3 x + 4 y = 18$
Equation of line perpendicular to $4 x - 3 y = 10$ is
$3 x + 4 y = c$
where $c$ is constant.
As this line passing through $(2, 3)$
Substituting this we get
$c = 3.2 + 4.3 = 18$
Hence, equation is $3 x + 4 y = 18.$

Suggest Corrections

Similar questions

3 x - 4 y + 2 = 0

(- 2, 3)

(5, 7)

(2, 3)

x

- 4

3 x + 4 y = 18; 4 x + 3 y = 17

x - y = 1

2 x - 3 y + 1 = 0

3 x + 4 y = 14

x + 2 y = 5

3 x + 7 y = 17

3 x + 4 y = 10

Join BYJU'S Learning Program