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Find 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.`

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To find the equation of the straight line whose intercepts on the X-axis and Y-axis are respectively twice and thrice those of the line given by the equation \(3x + 4y = 12\), we can follow these steps: ### Step 1: Find the intercepts of the given line \(3x + 4y = 12\). 1. **Find the X-intercept**: Set \(y = 0\). \[ 3x + 4(0) = 12 \implies 3x = 12 \implies x = 4 \] ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  2. Find the equation of a straight line which passes through the point ...

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  3. Find the equation of the straight line whose intercepts on X-axis and ...

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  4. Find the equation of the line through (2,3) so that the segment of the...

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  5. A line passes through the point (3,-2). Find the locus of the middle p...

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  6. Find the equations of the lines, which cut-off intercepts on the axes ...

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  7. Find eqn of lines pass through origin and trisect the intercept of lin...

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  8. Find the equation to the straight line: cutting off intercepts 3 and 2...

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  9. Find the equation to the straight line: cutting off intercepts -5 and ...

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  10. Find the equation to the straight line which passes through the point ...

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  11. A straight line passes through the point (alpha,beta) and this point b...

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  12. Point R (h, k) divides a line segment between the axes m the ratio 1...

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  13. Find the equation of the straight line which passes through the point ...

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  14. The equation of straight line which passes through the point (-4,3) su...

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  15. Find the equation of a line which passes through the point (22,-6) and...

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  16. Find the equation of the line which passes through P(1,-7) and meets t...

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  17. Find equation of the line passing through the point (2, 2) and cutt...

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  18. Find the equation of straight line which passes through the point P(2,...

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  19. Find the equations of the straight lines which pass through the origin...

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  20. find the equation of the straight line passing through (2,1) and bisec...

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