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On the portion of the line x+3y-3=0 whic...

On the portion of the line `x+3y-3=0` which is intercepted between the coordinate axes, a square is constructed on the side of the line away from the origin. Find the coordinates of the point of intersection of its diagonals. Also, find the equations of its sides.

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The correct Answer is:
`(2,2)`; `3x-y+1=0`, `x+3y-13=0`, `3x-y-9=0`
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MODERN PUBLICATION-STRAIGHT LINES -Revision exercise
  1. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

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  2. Prove that (-1,4) is the orthocentre of the triangle formed by the lin...

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  3. The equation of the perpendicular bisector of the side AB of a triangl...

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  4. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

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  5. Using the concept of slope, prove that medians of an equilateral tr...

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  6. Show that the perpendicular drawn from the point (4,1) on the line seg...

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

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  8. Find the coordinates of the incentre and centroid of the triangle whos...

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  9. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

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  10. The points (1, 3) and (5, 1) are two opposite vert of a rectangle. Th...

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  11. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

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  12. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

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  13. One side of a square is inclined to the x-axis at an angle alpha and o...

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  14. On the portion of the line x+3y-3=0 which is intercepted between the c...

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  15. Find the direction in which a straight line must be drawn through the...

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  16. The hypotenuse of a right angled isosceles triangle has its ends at th...

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  17. A ray of light passing through the point (1,2) reflects on the x-a xi ...

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

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  19. Let (2,1), (-3,-2) and (a, b) form a triangle. Show that the collectio...

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  20. The area of a parallelogram formed by the lines a x+-b x+-c=0 is (c^2)...

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