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

On the portion of the line x + 3y - 3 = 0, which is intercepted between the co-ordinate axes, a square is constructed on the side of the line away from the Origin. Find the co-ordinates of the intersection of its diagonals. Also, find the equations of its sides.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  2. One side of a square is inclined to the x-axis at an angle alpha and o...

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  3. On the portion of the line x + 3y - 3 = 0, which is intercepted betwee...

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

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  5. The hypotenuse of a right triangle has its ends at the points (1, 3) a...

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

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

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  10. Prove that the centres of the three circles : x^2 + y^2 -4x-6y-14=0, x...

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  11. Prove that, through three given points which are not collinear, there ...

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  12. Find equations to the circles touching Y-axis at (0,3) and making inte...

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  13. Find the area of the equilateral triangle that can be inscribed in the...

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  14. Find the equation of the circle circumscribing the quadrilateral forme...

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  15. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

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  16. If the distances from the origin to the centres of the three circles x...

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  17. Determine the equation of the circle whose diameter is the chord x + y...

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  18. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

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  19. Find the equation of the circle, which passes through the origin and c...

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  20. Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola who...

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