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Question
if a,b,c are in A.P , then prove that the straight line ax+by+c=0 will always pass through the point (1,-2)
if a,b,c are in A.P , then prove that the straight line ax+by+c=0 will always pass through the point (1,-2)
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Solution
As, a,b,c are in A.P.
therefore, 2b=a+c
⇒a-2b+c=0
thus, the line ax+by+c=0 passes through the point (1,-2).
As, a,b,c are in A.P.
therefore, 2b=a+c
⇒a-2b+c=0
thus, the line ax+by+c=0 passes through the point (1,-2).
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