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Without using Pythagoras theorem, show that `A(4,4),\ B(3,5)a n d\ C(-1,-1)` are the vertices of a right angled triangle.

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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Show that the line joining the points (4,-3) and (0,7) is perpendicula...

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  2. If the line joining the points (6,-2) and (8,4) is perpendicular to th...

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  3. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

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  4. Using slopes, show that the points A(0,5), B(3,2) and C(-1,6) are coll...

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  5. Using the slope of line, show that the points (-1,-2), (0,4), (3,3) an...

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  6. Using slopes, show that the points (4,11), (1,5) and (-1,1) are collin...

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  7. If the points (-1,y), (1,2) and (5,4) are collinear, find the value of...

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  8. If the points P(h , k),\ Q(x1, y1)a n d\ R(x2, y2) lie on a line. Show...

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  9. If A(1,2), B(-3,2) and C(3,-2) are the vertices of DeltaABC, show that...

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  10. The slope of a line is double of the slope of another line. If tangen...

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

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  12. Using the concept of slope, prove that medians of an equilateral tr...

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

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

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

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

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

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

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

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

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