The x-intercept of the line that passes through the intersection of the lines \(x + 2y = 4\) and \(2x + 3y = 6\), and is perpendicular to the line \(3x - y = 2\) is
Question and options
The x-intercept of the line that passes through the intersection of the lines and , and is perpendicular to the line is
- 2
- 0.5
- 4
- 6
Answer and explanation
Correct answer: D - 6
Intersection of x+2y=4 and 2x+3y=6 is (0,2). Line 3x-y=2 has slope 3, so required slope -1/3: y = 2 - x/3. Setting y=0 gives x = 6.
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IPMAT Indore
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