WBJEE · Maths · Straight Lines
If a straight line passes through the point \((\alpha, \beta)\) and the portion of the line intercepted between the axes is divided equally at that point, then \(\frac{x}{a}+\frac{y}{\beta}\) is
- A 0
- B 1
- C 2
- D 4
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Let the line be \(A B=\frac{x}{a}+\frac{y}{b}=1\) \(\ldots(0\) \(\therefore\) The coordinates of \(A\) and \(B\) are respectively \((a, 0)\) and \((0, b)\) Since, \((\alpha, \beta)\) is the mid-point of \(A B\)…
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