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If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5...

If the line `(x-3)/2=(y+k)/(-1)=(z+1)/(-5)` lies on the plane 2x-y+z-7 = 0,
then k = -` (2,-1,-2)`

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Ans.The line lies on the given plane if 2 × 3+ k - 1 - 7 = 0 . k = 2
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
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  8. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  9. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

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  10. Find the equation of the plane passing through (3,-6,-9) and parallel ...

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  11. In which condition x + y + z = alpha + beta + gamma will contain the l...

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  12. The angle between the planes x + y + I = 0 and y + z + I = 0 is .

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  13. To which coordinate axis the line x = 1 and y = 2 is parallel.

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  14. Find the number of points (x, y, z) in space other than the point (1,-...

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  15. Write the ratio in which the line segment Joining the points (1, 2, —2...

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

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  17. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  18. Find the equation of the plane passing through the line of intersectio...

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  20. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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