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Prove that the points ( 4 , 7 , - 6) ,...

Prove that the points ( 4 , 7 , - 6) , ( 2 , 5 , -4) and ( 1 , 4 , - 3) are collinear .

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Show that the points A (4 , 7 , -6) , B (2 , 5 , -4) and C ( 1 , 4 , -3) are collinear.

Applying section formulae show that the points A(4 , 7 , -6) , B ( 2, 5 , - 4) and C (1 , 4 , -3) are collinear .

Using section formula show tht the points A ( 9 , 8 , -10) , B ( 3 , 2 , -4) and C ( 5 , 4 , -6) are collinear .

Applying section formulae show that the points A(4. 7,-6), B (2, 5, -4) and C(1, 4, -3) are colinear.

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) .

The points ( 5 , 2 , 4) , ( 6 , - 1 , 2) and ( 8 , - 7 , k) are collinear if k=

Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) and ( 1, 2 , 3) taken in order are the vertices of a parallelogram . Is the the parallelogram a rectangle?

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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Very Short Answer Type Questions
  1. Prove that the triangle formed by joining the points ( - 4 , 9 , ...

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  2. Prove that the triangle formed by joining the points ( 1 , - 3,...

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  3. Prove that the points ( 4 , 7 , - 6) , ( 2 , 5 , -4) and ( 1 , 4 , ...

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  4. Find the coordiantes of the point in the xy-plane which is equiistant ...

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  5. If the distance between the points ( x , - 1 , 2) and (- 4 , 1 , 5) is...

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  6. Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 ...

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  7. Find the coordinates of the points on y - axis which are at a distance...

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  8. Find the coordinates of the point in xy- plane which is equidistant fr...

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  9. Find the coordinates of points on z-axis which are at a distance of 7...

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  10. Determined the equation to the locus of the point which is equidistant...

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  11. Find the coordinates of the point which is equidistant from the points...

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  12. Find the equation to the locus of the point whose distance from the po...

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  13. Find the perimeter of the triangle whose vertices are ( 0 , 1 , 2) , ...

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  14. Find the images of the point ( 3 , -4 , 6) with respect to yz-...

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  15. Find the images of the point ( 3, - 4 , 6) with respect to zx-plan...

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  16. Find the images of the point (3, - 4 , 6) with respect to xy - pla...

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  17. Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) ...

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  18. Three consecutive vertices of a parallelogram are ( 1 , 2, - 4) , ( -...

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  19. Two vertices of the parallelogram ABCD are A( 8 , 14 , 12) and B( ...

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  20. If (x(1),y(1),z(1)) , (x(2),y(2),z(2)) , (x(3) ,y(3),z(3)) and (x...

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