COMEDK · Maths · 10. Straight Lines
A straight line is drawn through a given point \(P(1,4)\). The least value of the sum of the intercepts on the co-ordinate axes is
- A 9
- B 3
- C 5
- D 8
Answer & Solution
Correct Answer
(A) 9
Step-by-step Solution
Detailed explanation
Let the equation of the line passing through \(P(1, 4)\) be \(\dfrac{x}{a} + \dfrac{y}{b} = 1\), where \(a\) and \(b\) are the x-intercept and y-intercept respectively. Since the line passes through \((1, 4)\), we have \(\dfrac{1}{a} + \dfrac{4}{b} = 1\). We want to minimize the…
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