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Question

Question 2 (iii)
Do the following equations represent a pair of coincident lines? Justify your answer.
x2+y+25=0 and 4x+8y+516=0

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Solution

x2+y+25=0 and 4x+8y+516=0
Here, a1=12, b1=1, c1=25 and
a2=4, b2=8, c2=516
a1a2=124=18,b1b2=18and
c1c2=25516=3225
a1a2=b1b2c1c2
So, the given system of linear equations does not represent a pair of coincident lines.

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