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The mid-points of the sides of a triangl...

The mid-points of the sides of a triangle are `(1,5,-1),(0,4,-2)a n d(2,3,4)dot` Find its vertices.

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To find the vertices of the triangle given the midpoints of its sides, we can follow these steps: ### Step 1: Define the Midpoints and Vertices Let the midpoints of the sides of the triangle be: - Midpoint D (AB) = (2, 3, 4) - Midpoint E (BC) = (1, 5, -1) - Midpoint F (AC) = (0, 4, -2) ...
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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

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