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Prove that the co-ordinates of the verti...

Prove that the co-ordinates of the vertices of an equilateral triangle can not be rational.

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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  2. The midpoints of the sides of a triangle are (1,5,-1), (0,4,-2) & (2,3...

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  3. Prove that the co-ordinates of the vertices of an equilateral triangle...

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  4. Find the equation of the curve x^2 + y^2 - 3x + 5y - 8 = 0 when the or...

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  5. Find the angle through which the axis may be turned about origin , so ...

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  6. Find the locus of a point which moves such that it distances from the ...

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  7. A ladder of length l rest against the wall of the room, if the ladder ...

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  8. A particle is moving in a vertical line whose equation of motion is gi...

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  9. Find the equation of the line whose perpendicular distance from the or...

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  10. Equation of a line is 3x - 4y + 10 = 0 Find its slope

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  11. Equation of a line is 3x - 4y + 10 = 0 Find its x- and y-intercepts

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  12. Find the equation of the right bisector of the line joining (1, 1) and...

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  13. Find the angle between the lines y-sqrt3 x - 5 = 0 and sqrt3 y -x + 6 ...

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  14. Find the equation of the line which passes through the point (3, 4) an...

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  15. A line passes through(2, 3), makes an angle (pi/4) with the positive d...

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  16. Find the value of a if the points (1, 2) and (3, 4) are of opposite si...

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  17. Find the equation of the straight lines passing through the point (2, ...

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  18. Line through the points (-2, 6) and (4, 8) is perpendicular to the lin...

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  19. Find the distance between the lines 5x -12y + 2 = 0 and -5x + 12y + 3 ...

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  20. Find the equations of line parallel to 3x + 4y + 2 = 0, at a distance ...

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