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asked ago in Mathematics by (21.7k points)

Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true? The lines are concurrent at the point

(1)  (3/4,1/2)

(2)  The lines are all parallel

(3)  The lines are not concurrent

(4)  Each line passes through the origin

1 Answer

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answered ago by (18.9k points)
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Best answer

Correct option (1)  (3/4,1/2)

Explanation:

3p + 2q + 4r = 0

px + qy + r = 0  .....(i)

3/4p +q/2 + r = 0  .....(ii)

comparing (i) and (ii) x = 3/4, y = 1/2

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