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The equation of the plane containing the...

The equation of the plane containing the lines `vecr=(hati+hatj-hatk)+lamda(3hati-hatj)` and `vecr=(4hati-hatk)+mu)2hati+3hatk)`, is

A

coplanar

B

non-coplanar

C

parallel

D

perpendicular

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The correct Answer is:
B
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The equation of the plane containing the line vecr=hati+hatj+lamda(2hati+hatj+4hatk) is

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Find the vector and Cartesian equations of a plane containing the two lines vecr=(2hati+hatj-3hatk)+lambda(hati+2hatj+5hatk) and vecr=(3hati+3hatj+2hatk)+mu(3hati-2hatj+5hatk) .

Find the shortest distance between the lines vecr = hati+ hatj+hatk+lambda(3hati-hatj) and vecr=4hati-hatk+mu(2hati+3hatk)

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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. If a line joining the points (1,-1,2)and(3,2,-1) is perpendicular to ...

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  3. The equation of the plane containing the lines vecr=(hati+hatj-hatk)+l...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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