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Prove that a median of an equilateral tr...

Prove that a median of an equilateral triangle is perpendicular to the corresponding side.

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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. The slope of a line is double of the slope of another line. If tangen...

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  2. Show that the diagonals of a rhombus bisect each other at right ang...

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  3. Prove that a median of an equilateral triangle is perpendicular to the...

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  4. Prove that the line joining the mid-points of the two sides of a tr...

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  5. Find the equation of the following lines : (i) parallel to X-axis an...

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  6. Find the equation of a line which pasess through the point (1,-1) and ...

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  7. Find the equation of line passing through the point (2,6) and perpendi...

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  8. Find the equation of a line passing through the point (1,-2) and whose...

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  9. Find the equation of a line passing through the point (-2,0) and makes...

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  10. Find the equation of a line passing through the point (0,-2) and makes...

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  11. (i)Find the equation of a line passing through origin and makes an an...

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  12. (i) Find the equation of line passing through (2,2) and makes an angle...

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  13. Find the equation of the line passing through the following points : ...

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  14. (i) Find the equation of a line passing through the points (a,b) and (...

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  15. If the point (p,q) lies on the line joining the points (-4,5) and (-5,...

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  16. Find the equation of the medians of DeltaABC whose vertices are A(1,0)...

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  17. The vertices of DeltaABC are A(-3,2), B(0,3) and C(1,0). Find the equa...

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  18. Find the equation of the perpendicular bisector of the line segment jo...

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  19. Show that the points (0,3), (-2,-2) and (2,8) are collinear. Also find...

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  20. Find the equation of a line whose (i) Slope =-1 and Y- intercept =3....

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