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Find the value of k for which the line(x...

Find the value of k for which the line`(x - 2)/3 = (1 - y)/k = (z - 1)/4` is parallel to the plane 2x + 6y + 3z - 4 = 0.

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State which of the following statements are true (T) or false(F) The line (x-2)/3=(1-y)/4=(5-z)/1 is parallel to the plane 2x -y-2z=0.

Find the co-ordinates of the point where the (x - 2)/3 = (y+1)/4=(z-2)/2 intersect the plane x - y + z - 5 = 0 . Also find the angle between the line and the plane.

SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. To which coordinate axis is, the plane 2x + 3y = 0 parallel and why ?

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  2. What is the image of the point (6, 3, -4) with respect to yz- plane ...

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  3. Find the value of k for which the line(x - 2)/3 = (1 - y)/k = (z - 1)/...

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  4. If the d.cs of a straight line be << 2/7 , 3/7, k/7 >>, then what is t...

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  5. If a line makes an angle90^@ with x-axis, 60^@ with y-axis and what an...

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  6. What is the distance between the planes x- 2y+ 3z + 1= 0 and 2x - 4y +...

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  7. Write the equation of the plane with intercepts on axes 1, -1, 3. .

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  8. What are the direction consines of the normal to the plane 3x - 2y - 2...

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  9. Write the ratio in which the line joining the points (2,3,4) and (-3,5...

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  10. Write the angle between the planes 3x -5y + 2z-8 = 0 and 2x + 4y + 7z ...

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  11. Write the equation of the line passing through (-3, 1, 2) and perpend...

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  12. Write the direction cosines of Z-axis.

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  13. What is the distance of the point (4, 5, -3) from y-axis ?

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  14. Write the equation of the plane passes through y-axis and z-axis.

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  15. Fill in the blanks in the length of the projection of the line segment...

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  16. What are the d.cs of the line through (1,-1, 1)and (2, -5,-3)?

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  17. Show that the point (3, -2, 4), (1, 1, 1) and (-1, 4,-2)are collinear...

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  18. What is the equation of x-axis in symmetric form.

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  19. What are the d.cs of the line x = y = z.

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  20. Write down the d.rs of the line 2x = 3y = 4z.

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