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Find the distance of the point {({3},-{5})}from the line {3}{x

Question

Find the distance of the point $(3, - 5)$ from the line $3 x - 4 y - 26 = 0$ .

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Find the distance of the point

(3, - 5)

from the line

3 x - 4 y - 26 = 0

5 mins ago

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Text solutionVerified

Solution: the point given is

P (3, - 5)

line given is

3 x - 9 y - 26 = 0

as we know ,

D = ∣ ∣ \frac{A x _{1} + B y _{1} + C}{A ^{2} + B ^{2}} ∣ ∣

D = ∣ ∣ \frac{3 \cdot 3 + ( _{4} ) ( - 5 ) - 26}{3 ^{2} + ( - 4 ) ^{2}} ∣ ∣

∣ ∣ \frac{9 + 20 - 26}{9 + 16} ∣ ∣

D = ∣ ∣ \frac{3}{5} ∣ ∣

= \frac{3}{5}

answer

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Question Text	Find the distance of the point $(3, - 5)$ from the line $3 x - 4 y - 26 = 0$ .
Answer Type	Text solution:1
Upvotes	150