First slide

Equation of line in Straight lines

Question

The perpendicular distance from origin to the line $4 x + 3 y - 5 = 0$ is

Easy

A

1
B

2
C

3
D

4

Solution

The perpendicular distance from origin to the line $ax + by + c = 0$ is $|\frac{c}{\sqrt{a^{2} + b^{2}}}|$
Hence, the distance from origin to the line $4 x + 3 y - 5 = 0$ is $d = \frac{5}{\sqrt{16 + 9}} = 1$

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