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Question

The equation of the straight line whose intercepts on x-axis and y-axis are respectively twice and thrice of those by the line 3x+4y=12, is

A
9x+8y=72
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B
9x8y=72
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C
8x+9y=72
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D
8x+9y+72=0
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Solution

The correct option is A 9x+8y=72
Given line is, 3x+4y=12
x4+y3=1(1)
Thus intercepts on the axes by line (1) are 4 and 3 respectively
So, the intercept on the axes of required line will be 8 and 9 respectively,
Hence it's equation is given by,
x8+y9=19x+8y=72

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