Comparing the Ratios of Coefficients of a Linear Equation
iii Do the fo...
Question
Question 2 (iii) Do the following equations represent a pair of coincident lines? Justify your answer. x2+y+25=0and4x+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=b1b2≠c1c2 So, the given system of linear equations does not represent a pair of coincident lines.