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Show that the lines (x+3)/(-3) = (y-1)/1...

Show that the lines `(x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (y-2)/2 = (z-5)/5` and are coplanar. Also, find the equation of the plane containing these lines.

A

`x+2y+z=0`

B

`x-2y-z=0`

C

`x+2y-z=0`

D

`x-2y+z=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The equation of plane containing the lines barr=(2hatj-3hatk)+lamda(ha...

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  2. Show that the lines (x+3)/(-3)=(y-1)/1=(z-5)/5and (x+1)/(-1)=(y-2)/2=(...

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  3. Show that the lines (x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (...

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  4. दर्शाइए कि रेखाएँ " " (x - a + d )/(alpha - delta) = ...

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  5. If the lines x = 1 + s, y = - 3 - lamda s , z = 1 + la...

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  6. Find the distance of the point hati + 2hatj - hatk from the plane barr...

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  7. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

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  8. If p(1) and p(2) are the lengths of perpendiculars from the points hat...

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  9. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

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  10. If the line barr=(hati+hatj)+lamda(2hati+hatj+4hatk) is parallel to th...

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  11. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

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  12. Show that the points (-3,0,1) and (1,1,1) are equidistant from the pla...

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  13. If d(1)andd(2) are the distances of points (2 ,3 ,4 ) and (1 , 1 ,4 ...

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  14. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

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  15. Find the equations of the plane parallel to the plane x + 2y + 2z + 8 ...

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  16. If the distance of the point (1,1,1) from the origin is half its dista...

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  17. If the perpendicular distance of point A other than origin from the pl...

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  18. The plane ax+by+cz=105 contain the lines 2x-y+z=3and3x+y+z=5 . If po...

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  19. Which of the following is correct?

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  20. The equation of a plane which cuts equal intercepts of unit length on ...

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