Fill in the blanks:If a, b, c are in A.P., then the straight lines ax

1.	Fill in the blanks:If a, b, c are in A.P., then the straight lines ax + by + c = 0 will always pass through ____.
Answer» Given: a, b, c are in AP b = (a + c)/2 ⇒ 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).

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

Answer»

Given: a, b, c are in AP

b = (a + c)/2

⇒ 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).