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If A(-2,2,3)a n dB(13 ,-3,13) are two po...

If `A(-2,2,3)a n dB(13 ,-3,13)` are two points. Find the locus of a point `P` which moves in such a way that `3P A=2P Bdot`

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RD SHARMA ENGLISH-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-All Questions
  1. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

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  2. Find the coordinates of the point which divides the joint of P(2,-1...

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  3. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

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  4. Find the ratio in which the line joining the points (1,2,3)a n d(-3...

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

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  6. Find the distance between the points P (1,3,4) and Q (4,1,2) .

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  7. Prove by using distance formula that the points P(1,2,3),Q(-1,-1,-1)a ...

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  8. Determine the point in X Y-p l a n e whcih is equidistant from three p...

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  9. Show that the points A(0,1,2),B(2,-1,3)a n dC(1,-3,1) are vertices of ...

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  10. Find the coordinates of a point equidistant from th four points O(0,0,...

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  11. Find the point on y-axis which is equidistant from the points (3,1,2) ...

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  12. Prove that the triangle formed by joining the three points whose co...

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  13. Prove that the lines joining the vertices of a tetrahedron to the ce...

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  14. Using the section formula, prove that the three points A(-2,3,5),B(1...

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

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

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  17. Planes are drawn parallel to the coordinate planes through the point P...

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  18. Name the octants in which the following points lie: (5,2,3)

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  19. Name the octants in which the following points lie: (-5,-4,7)

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  20. Name the octants in which the following points lie: (-5,4,3)

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