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Find the perpendicular distance from the origin of the line x + y – 2 = 0 is:
- a)√2
- b)√3
- c)5√2
- d)3√3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the perpendicular distance from the origin of the line x + y R...
The given point is P(0,0) and the given line is x + y - 2 = 0
Let d be the length of the perpendicular from P(0,0) to the line x + y - 2 = 0
Then,
d = |(1 × 0) + (3 × 0) − 2|/(√12 + 12)
= 2/√2
= (2/√2) * (√2/√2)
= √2
Let d be the length of the perpendicular from P(0,0) to the line x + y - 2 = 0
Then,
d = |(1 × 0) + (3 × 0) − 2|/(√12 + 12)
= 2/√2
= (2/√2) * (√2/√2)
= √2
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Community Answer
Find the perpendicular distance from the origin of the line x + y R...
By using distance formula we xan write( x1 + y1 -2 )/ (a^2 + b^2 ) ^(1÷2)Then (0 + 0 - 2 )/(2)^*(1÷2) = 2^(1÷2) Since there is mod the negative sign is neglected
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