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The base of an equilateral triangle with...

The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

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PSEB-STRAIGHT LINES-EXERCISE
  1. Draw a quadrilateral in the Cartesian plane, whose vertices are (- 4, ...

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  2. The base of an equilateral triangle with side 2a lies along the y-axis...

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  3. Find the distance between P (x1, y1) and Q (x2, y2) when : (i) PQ is p...

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  4. Find a point on the x-axis, which is equidistant from the points (7, 6...

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  5. Find the slope of a line, which passes through the origin, and the mid...

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  6. Without using the Pythagoras theorem, show that the points (4, 4), (3,...

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  7. Find the slope of the line, which makes an angle of 30^@ with the posi...

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  8. Find the value of x for which the points (x, -1), (2, 1) and (4, 5) ar...

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  9. Without using distance formula, show that points (- 2,-1), (4, 0), (3,...

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  10. Find the angle between the x-axis and the line joining the points (3,-...

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  11. The slope of a line is double of the slope of another line. If tangent...

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  12. A line passes through (x1, y1) and (h, k). If slope of line is m, show...

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  13. If three points (h, 0), (a, b) and (0, k) lies on a line, show that a/...

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  14. In the following , find the equation of the line which satisfy the giv...

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  15. In the following , find the equation of the line which satisfy the giv...

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  16. In the following , find the equation of the line which satisfy the giv...

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  17. In the following , find the equation of the line which satisfy the giv...

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  18. In the following , find the equation of the line which satisfy the giv...

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  19. In the following , find the equation of the line which satisfy the giv...

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  20. In the following , find the equation of the line which satisfy the giv...

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