Straight Lines: Distance from point to line MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Distance from point to lineMediumQuestion 300005

Question

The distance from point (3, 4) to the line 3x − 4y + 5 = 0 is:

A
2/5
Correct
B
2
C
1
D
3

Correct answer

2/5

Explanation

Distance = |3(3) − 4(4) + 5|/√(9+16) = |9−16+5|/5 = |−2|/5 = 2/5. Hmm — the answer should be 2/5. But listed answer is 2. Let me check: |9 − 16 + 5| = |−2| = 2. √(9+16) = 5. Distance = 2/5. The correct answer is 2/5.

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