COMEDK · Maths · 10. Straight Lines
A straight line makes positive intercepts on the coordinate axes whose sum is 5 . If the line passes through the point \(P(-3,4)\) then the equation of a line is
- A \(2 x+3 y=6\)
- B \(3 x+2 y=6\)
- C \(x+4 y=13\)
- D \(2 x-y+10=0\)
Answer & Solution
Correct Answer
(A) \(2 x+3 y=6\)
Step-by-step Solution
Detailed explanation
Let the intercepts of the line on the x-axis and y-axis be \(a\) and \(b\) respectively. The equation of the line in intercept form is \(\dfrac{x}{a} + \dfrac{y}{b} = 1\). Given that \(a + b = 5\), we have \(b = 5 - a\). Substituting this into the equation, we get…
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