Q42 of 59 Page 178

Fill in the blanks

If a, b, c are in A.P., then the straight lines ax + by + c = 0 will always pass through ____.

Given: a, b, c are in AP


⇒ 2b = a + c


⇒ a – 2b + c = 0 …(i)


Now, comparing the eq. (i) with the given equation ax + by + c = 0, we get


x = 1, y = -2


So, the line will pass through (1, -2)


Ans. If a, b, c are in A.P., then the straight lines ax + by + c = 0 will always pass through (1, -2).


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