SATHEE: Straight Line Question 385

Straight Line Question 385

Question: If $ a+b+c=0 $ and $ p\ne 0, $ the lines $ ax+(b+c)y=p, $ $ bx+(c+a)y=p $ and $ cx+(a+b)y=p $

Options:

A)Do not intersect

B)Intersect

C)Are concurrent

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

By the help of given condition of $ a+b+c=0 $ , the three lines reduce to $ x-y=\frac{p}{a} $ or $ \frac{p}{b}or\frac{p}{c}(p\ne 0) $ . All these lines are parallel. Hence they do not intersect in finite plane.

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Straight Line Question 385

Question: If $ a+b+c=0 $ and $ p\ne 0, $ the lines $ ax+(b+c)y=p, $ $ bx+(c+a)y=p $ and $ cx+(a+b)y=p $

Options:

Answer:

Solution:

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