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Question: The distance of (2, 1) from the line 4x – 3y – 15 = 0 measured parallel to the line 3x + 4y = 0 is-...

The distance of (2, 1) from the line 4x – 3y – 15 = 0 measured parallel to the line 3x + 4y = 0 is-

A

1

B

2

C

3

D

4

Answer

2

Explanation

Solution

The two lines are perpendicular to each other.

Hence, the required distance

=4(2)3(1)1542+32\frac{|4(2) - 3(1) - 15|}{\sqrt{4^{2} + 3^{2}}}= 105\frac{10}{5} = 2.