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the equation of the straight line intersecting the
Question:
The equation of the straight line, intersecting the coordinate axes \( x \) and \( y \) are respectively 1 and 2, is:
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The equation of a straight line intersecting the axes at \( x = a \) and \( y = b \) is given by \( \frac{x}{a} + \frac{y}{b} = 1 \).
KEAM - 2024
KEAM
Updated On:
Mar 7, 2025
\( x + y = 3 \)
\( x - 2y = -3 \)
\( 2x - y = 0 \)
\( 2x + y = 2 \)
\( x - y = -1 \)
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The Correct Option is
D
Solution and Explanation
For a line intersecting the x-axis at 1 and the y-axis at 2, the equation of the line can be written as: \[ \frac{x}{1} + \frac{y}{2} = 1 \] Multiplying through by 2 gives the equation: \[ 2x + y = 2 \]
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