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If the point (1, 2, 3) is changed to the...

If the point (1, 2, 3) is changed to the point (2, 3, 1) through translation of axes, find the new origin.

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The correct Answer is:
(-1,-1,2)
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When the origin is shifted to (4, -5) by the translation of axes, find the coordinates of the point (i) (-2, 4) with reference to new axes. (ii) (4, -5) with reference to new axes.

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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE - 5 (SHORT ANSWER QUESTIONS)
  1. Show that the point A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right ang...

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  2. Show that the points (1, 2, 3), (2, 3, 1) and (3, 2, 1) form an equila...

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  3. Show that ABCD is a square where A,B,C,D are the points (0,4,1),(2,3,-...

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  4. Show that the points (5,-1,-1),(-1,5,-1)(-1,-1,5),(-3,-3,-3) are the v...

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  5. Show that the points (-1,0,7),(3,2,1) and (5,3,-2) are collinear.

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  6. Show that the points A=(1,2,3),B=(7,0,1), C=(-2,3,4) are colinear.

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  7. S.T The points are collinear (ii) A(3,-2,4), B(1,1,1),C(-1,4,-2)

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  8. Show that the points A(3,2,-4),B(5,4,-6) andC(9,8,-10) are collinear a...

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  9. Show that the points O(0,0,0), A(2,-3,3) B(-2,3,-3) are collinear. Fin...

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  10. For what value of t, the points (2,-1,3),(3,-5,t) and (-1,11,9) are co...

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  11. A(5,4,6), B(1,-1,3),C(4,3,2) are three points. Find the coordinates of...

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  12. A(3,2,0), B(5,3,2), C(-9,6,-3) are vertices of a triangle. bar(AD), th...

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  13. Show that the point whose distance from Y-axis in thrice its distance ...

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  14. P is a variable point which moves such that 3PA =2PB. If A(-2,2,3) and...

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  15. The ends of the hypotenuse of a right angled triangle are (2,0,-3) ,(0...

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  16. A,B,C are three points OX,OY,OZ respectively, at distance a,b,c from t...

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  17. If A(4,8,12), B(2,4,6), C(3,5,4) and D(5,8,5) are four points, show t...

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  18. Find the point of intersectoon of the lines vec(AB) and vec(CD) where ...

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  19. The incentre of the triangle formed by (0,0,0),(3,0,0),(0,4,0) is

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  20. If the point (1, 2, 3) is changed to the point (2, 3, 1) through trans...

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