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Find the equations the straight lines which go through the origin and trisect the portion of the straight line `3x+y=12` which is intercepted beteen the axes of coordinates.

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To find the equations of the straight lines that go through the origin and trisect the portion of the straight line \(3x + y = 12\) intercepted between the axes of coordinates, we can follow these steps: ### Step 1: Find the intercepts of the line \(3x + y = 12\) To find the x-intercept, set \(y = 0\): \[ 3x + 0 = 12 \implies x = \frac{12}{3} = 4 \] ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  8. If the intercept of a line between the coordinate axes is divided by ...

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  9. A straight line moves so that the sum of the reciprocals of its interc...

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  10. Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...

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  11. If the length of the perpendicular from the point (1,1) to the line a...

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  12. If t1 and t2 are roots of eth equation t^2+lambdat+1=0, where lambda i...

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  13. Show that the locus of the mid-point of the segment intercepted betwee...

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

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  15. The area of the triangle formed by the coordinates axes and a line is ...

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  16. Find the equations of the line which passes through the point (3,4) an...

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  17. For what values of a and b the intercepts cut off n the coordinate a...

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  18. Find the equation of the straight line which passes though (1,-3) and ...

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  19. If the line (x/a)+(y/b)=1 moves in such a way that (1/(a^2))+(1/(b^2))...

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  20. If the sum of the distances of a moving point in a plane from the axes...

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