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A person standing at the junction (cross...

A person standing at the junction (crossing) of two straight paths represented by. the equations `2 x-3 y+4=0` and `3 x+y-5=0` wants to reach the path whose equation is `6 x-7 y+8=0` in the least time. Find equation of the path that he should follow.

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V PUBLICATION-STRAIGHT LINES-QUESTIONBANK
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  2. If three lines whose equations are y =m1 x+c1, y=m2 x+c2 and y=m3 x+c3...

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  3. Find the equation of the lines through the point (3,2) whịch make an a...

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  4. Find the equation of the line passing through the point of intersectio...

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  5. In what ratio, the line joining (-1 , 1) and (5,7) is divided by the l...

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  6. Find the distance of the line 4 x+7 y+5=0 from the point (1,2) along t...

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  7. Consider the line x+3y-7=0 Find the image of the point (3,8) with re...

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  8. A ray of light passing through the point (1,2) reflects on the x -axis...

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  9. A person standing at the junction (crossing) of two straight paths rep...

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  10. In the Figure, time and distance graph of a linear motion is given. Tw...

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  11. If the slope of the .line joíning (2,5) and (3, lambda) is -2, find th...

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  12. Find the slope of the line passing through the points (1,6) and (-4,2)...

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  13. Without using the pythagoras theorem, show that the points (4,4),(3,5)...

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  14. If the medians from A and B of the triangle with vertices A(0, b), B(0...

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  15. Show that the points (a t1^2, 2 a t1)(a t2^2, 2 a t2) and (a, 0) are c...

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  16. Find the equation of the straight line which makes angle 30^(circ) wit...

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  17. Find the equation of the line which makes intercepts - 4 and 5 on the ...

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  18. Find the equation of the line for which p=5 and alpha=135^(circ). Also...

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  19. Reduce the equation sqrt3 x+y-8=0 into normal form. Find the values of...

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  20. Which of the lines 2 x+7 y-9=0 and 4 x-y+11=0 is farther from the poin...

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