SATHEE: Straight Line Question 365

Straight Line Question 365

Question: Two consecutive sides of a parallelogram are $ 4x+5y=0 $ and $ 7x+2y=0. $ If the equation to one diagonal is $ 11x+7y=9, $ then the equation of the other diagonal is[IIT 1970]

Options:

A) $ x+2y=0 $

B) $ 2x+y=0 $

C) $ x-y=0 $

D)None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Since equation of diagonal $ 11x+7y=9 $ does not pass through origin, so it cannot be the equation of the diagonal OB. Thus on solving the equation AC with the equations OA and OC, we get $ A( \frac{5}{3},-\frac{4}{3} ) $ and $ C( \frac{-2}{3},\frac{7}{3} ) $ . Therefore, the middle point M is $ ( \frac{1}{2},\frac{1}{2} ) $ Hence the equation of OB is $ y=x $ i.e., $ x-y=0 $ .

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Straight Line Question 365

Question: Two consecutive sides of a parallelogram are $ 4x+5y=0 $ and $ 7x+2y=0. $ If the equation to one diagonal is $ 11x+7y=9, $ then the equation of the other diagonal is[IIT 1970]

Options:

Answer:

Solution:

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