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Using section formula, show that the poi...

Using section formula, show that the points A (3 , 2 , -4) , b ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear . Also find the ratio in which the point B divides the line-segment `overline(AC)` .

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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Short Answer Type Questions
  1. Find the ratio in which the line segment joining A ( 2 , 4 , 5) and B ...

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  2. Let A ( 2 , - 4 , - 3) and B ( - 4 , 2 , 3) be two given points if...

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  3. Find the coordinates of the point in zx-plane which is equidistant fro...

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  4. Find the coordinates of the points on z-axis which are at a distance s...

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  5. A ( 1 , 3 , 0) , B ( 2 , 2 , 1) and C ( 5 , - 1 , 4) are the vertices ...

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  6. IF the z-coordinates of a point C on the line - segment joining the ...

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  7. If A ( 1 , y , z) lies on the line through the points b ( 3 , 2 , - 1...

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  8. Find the coordinates of the centriod of the triangle whose vertices ...

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  9. Using section formula, show that the points A (3 , 2 , -4) , b ( 5 , ...

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  10. The line-segment joining the points A (1 , 2 , 3) and b ( - 3 , 4 ...

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  11. Prove that the xy-plane divides the line-segment joining the points A(...

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  12. If ( - 4 , 7 , 5) , ( 2 , - 6 , - 3) and ( 8 , 2 , - 5) are the co...

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  13. Find the consine of the angle B of the triangle formed by joining t...

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  14. If the point C( x , y , -14) lies on the line-segment overline(AB) ...

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  15. Prove that the plane ax + by + cz + d = 0 divides the line-segment joi...

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  16. The coordinates of the centroid of the triangle ABC are ( 1 , 1, 1) , ...

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  17. The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, ...

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  18. Using section formula show tht the points A ( 9 , 8 , -10) , B ( 3 , 2...

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  19. The coordinates of the centroid of the triangle formed by joining the ...

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  20. Prove that the plane ax - by + cz + d = 0 divides the line-segment jo...

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