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Find the equation of a straight line which passes through the point (4,-2) and whose intercept on y-axis is twice that on x-axis.

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To find the equation of the straight line that passes through the point (4, -2) and whose intercept on the y-axis is twice that on the x-axis, we can follow these steps: ### Step 1: Define the Intercepts Let the x-intercept be \( a \). According to the problem, the y-intercept will then be \( 2a \). ### Step 2: Write the Equation of the Line The equation of a line in terms of its intercepts can be expressed as: \[ ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the equation of the straight line which makes equal intercepts on...

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  2. Find the equation of the line which cuts off equal and positive int...

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  3. Find the equation of a straight line which passes through the point ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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