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Equation at sides of rectangle are x=a, ...

Equation at sides of rectangle are `x=a, x=a', y=b and y=b'`. Obtain equation of its diagonals.

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The correct Answer is:
`y(a' - a) - x(b' - b) = a'b - ab'`
`y(a' - a) + x(b' - b) = a'b' - ab`
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KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. Find equation of line L whose length of perpendicular from origin is 2...

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  2. In which ratio line x+y=4 divides line segment joining points (-1,1) a...

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  3. Equation at sides of rectangle are x=a, x=a', y=b and y=b'. Obtain equ...

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  4. Find equation of line passes from point P(1,-7) which intersects axis ...

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  5. A(1, 4), B(2, -3) and C(-1, -2) are the verticies at Delta ABC then f...

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  6. Find the equation of line which makes a triangle with area (50)/( sqr...

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

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  8. Prove that line segment joining mid points of the two sides of the tri...

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  9. The Fahrenheit remperature F and absolute temperature K satisfy a line...

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  10. L : 3x + 2y-7 =0 (1) Reduce the above equation in slope intercept fr...

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  11. Find points on line x + y + 3 = 0 whose distance from line x+2y+2=0 is...

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  12. Length of perpendicular from origin to the line (x)/(a) + (y)/( b) = 1...

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  13. Find perpendicular distance from point (3,-1) to the line 12 x -5y-7=0...

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  14. If two sides of the quadrilateral are along the lines x+2y+3=0 and x+2...

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  15. Find equation of parallel line to line 2x+3y+11=0 and whose sum of int...

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  16. Find equation of line at the distance 3 from origin and perpendicular ...

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  17. Find equation of line whose y- intercept is (4)/(3) and perpendicular ...

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  18. Prove that lines 3x + y + 4 = 0, 3x + 4y = 20 and 24x - 7y + 5 = 0 are...

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  19. One side and are vertex of the equilateral triangle is 2x+2y-5=0 and (...

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  20. Find equation of lines which bisects the quadrents.

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