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If the equation of the opposite sides of a parallelogram are 4x + 5y =

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If the equation of the opposite sides of a parallelogram are 4x + 5y =  [#permalink]

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New post 30 Jul 2018, 12:15
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If the equation of the opposite sides of a parallelogram are 4x + 5y = 20 and ax - 2y = 9, what is the value of a?

A. 4/5
B. -8/5
C. 8/5
D. -2/5
E. 5/2
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Re: If the equation of the opposite sides of a parallelogram are 4x + 5y =  [#permalink]

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New post 30 Jul 2018, 12:28
ankit2601 wrote:
if the equation of the opposite sides of a parallelogram are 4x+5y=20 and ax-2y=9, what is the value of a?
A. 4/5
B. -8/5
C. 8/5
D. -2/5
E. 5/2


Equation of straight line : y=mx+c where M is the slope

Line 01 : 4x+5y=20 or y= -\(\frac{4}{5}\)x + 4 Hence Slope= -\(\frac{4}{5}\)

Line 02 : ax-2y=9 y= \(\frac{a}{2}\)x - 9/2 Hence Slope= \(\frac{a}{2}\)

As Line 01 & 02 are the opposites sides of a parallelogram... they are parallel to each other. Hence they have equal slope.
Hence, -\(\frac{4}{5}\)=\(\frac{a}{2}\)
Hence a = -\(\frac{8}{5}\)..........................................Answer B
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Re: If the equation of the opposite sides of a parallelogram are 4x + 5y = &nbs [#permalink] 30 Jul 2018, 12:28
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