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Prove that the lines (x+1)/3=(y+3)/5=(z+...

Prove that the lines `(x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)/7` are coplanar . Aslo, find the plane containing these two lines.

A

coplanar

B

non-coplanar

C

parallel

D

perpendicular

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

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  2. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

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  3. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

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  4. The equation of plane containing the lines barr=(2hatj-3hatk)+lamda(ha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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