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

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the equation of a line which cuts off intercepts a and b respec...

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  2. Find the equation of the bisector of angle A ofthe triangle whoe verti...

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  3. Find the equations of the straight lines which go through the origin a...

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  4. A line L is such that its segment between the straight lines 5x - y ...

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  5. Find the equations to the diagonals of the rectangle the equations of ...

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  6. A rectangle has two opposite vertices at the points (1,2) a n d (5,5)....

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  7. Find the coordinates of the vertices of a square inscribed in the tria...

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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 a n d t2 are roots of eth equation t^2+lambdat+1=0, where lamb...

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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 aa n db the intercepts cut off n the coordinate axe...

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  18. Find the equation of the straight line which passes though (1,-2)a n d...

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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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