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The straight line joining the points ( 3...

The straight line joining the points ( 3 , 4 , 3) and ( 2 , 1 , 5) intersects the plane 2 x + 2y - 2z = 1 at P , find the coordinates of P .

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The correct Answer is:
`((29)/(12),(9)/(4),(25)/(6))`
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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Short Answer Type Questions
  1. Find the coordinates of the point which divides the join of ( 2 , - 3 ...

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  2. Find the coordinates of the point which divides the join of ( 2 , - 3 ...

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  3. The straight line joining the points ( 3 , 4 , 3) and ( 2 , 1 , 5) in...

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  4. Find the ratios in which the line-segment joining the points ( 4 , 3 ,...

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  5. If a line is perpendicular to z-axis and makes an angle 40^(@) with...

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  6. The coordinates of the mid-points of the sides of a triangle are ( 3 ,...

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  7. Find the ratio in which the line segment joining A ( 2 , 4 , 5) and B ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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