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Questions  

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

a
3x+7y=0
b
11x−7y=0
c
x−y=0
d
x+y=0

detailed solution

Correct option is C

Given equations are 4x+5y=0…… (i) 7x+2y=0…… (ii) 11x+7y=9…… (iii)  Solving (i) and (iii) A≡53,−43 Solving (ii) and (iii) C≡−23,73M= midpoint of AC=53−232,−43+732=12,12 Equation of  diagonal OB is y−y1=y2−y1x2−x1x−x1⇒y−0=12−012−0(x−0)⇒x−y=0Therefore, the correct answer is (3).

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