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Using distance formula prove that the following points are collinear: `P(0,7,-7),\ Q(1,4,-5)a n d R(-1, 10 ,-9)`

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Find the ratio in which the line joining the points (1,2,3)a n d(-3...

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  2. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

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  3. Using distance formula prove that the following points are collinear: ...

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  4. The mid-points of the sides of a triangle are (1,5,-1),(0,4,-2)a n d(2...

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  5. Find the coordinates of the points which trisect the line segment A ...

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  6. Show that the centroid of the triangle with vertices A(x1,\ y1,\ z1...

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  7. Find the coordinates of the foot of the perpendicular drawn from th...

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  8. Find the angle between the vectors with direction ratios proportion...

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  9. "P"(6," "3," "2)," Q"(5," "1," "3)"andR"(3," "3," "5) are three vert...

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  10. Find the direction cosines of the line which is perpendicular to the...

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  11. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  12. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  13. The angel between the two diagonals of a cube is a. 30^0 b. 45^0 c. ...

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  14. If a line makes angle 90o, 60oand 30owith the positive direction of ...

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  15. if a line has direction ratio 2,-1,-2,determine its direction cosine

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  16. Find the direction cosines of the line passing through two points

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  17. Using direction ratios show that the points A(2,3,-4), B(1,-2,3) an...

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  18. Find the direction cosines of the sides of the triangle whose vertic...

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  19. Find the angel between the vectors with direction ratios proportion...

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  20. Find the acute angle between the lines whose direction ratios are p...

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