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If the points P(h , k),\ Q(x1, y1)a n d\...

If the points `P(h , k),\ Q(x_1, y_1)a n d\ R(x_2, y_2)` lie on a line. Show that: `(h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)dot`

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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Using slopes, show that the points (4,11), (1,5) and (-1,1) are collin...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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