WBJEE · Maths · Sequences and Series
If \(a, b\) and \(c\) are in \(\mathrm{AP}\), then the straight line \(a x+2 b y+c=0\) will always pass through a fixed point whose coordinates are
- A (1,-1)
- B (-1,1)
- C (1,-2)
- D (-2,1)
Answer & Solution
Correct Answer
(A) (1,-1)
Step-by-step Solution
Detailed explanation
Given that, \(a\), \(b\) and \(c\) are in \(\mathrm{AP}\) \(\therefore \quad 2 b=a+c\) \(\Rightarrow \quad c=2 b-a\) and equation of straight line is \(a x+2 b y+c=0\) \(\Rightarrow \quad a x+2 b y+(2 b-a)=0\) \(\Rightarrow \quad a(x-1)+b(2 y+2)=a \cdot 0+b \cdot 0\) On…
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