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The vector equation of the line of inter...

The vector equation of the line of intersection of the planes `vecr.(2hati+3hatk)=0` and `vecr.(3hati+2hatj+hatk)=0` is

A

`vecr=lamda(hati+2hatj+hatk)`

B

`vecr=lamda(hati-2hatj+3hatk)`

C

`vecr=lamda(hati+2hatj-3hatk)`

D

none of these

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The correct Answer is:
B

NA
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OBJECTIVE RD SHARMA-PLANE AND STRAIGHT LINE IN SPACE -Exercise
  1. Find the vector equation of the plane in which the lines vecr=hati+ha...

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  2. The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda+mu)...

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  3. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  4. The vector equation of the line of intersection of the planes vecr.(2h...

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  5. A straight line vecr=veca+lambda vecb meets the plane vecr. vec n=0 at...

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  6. The equation of the plane passing through three non - collinear points...

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  7. The length of the perpendicular from the origin to the plane passing t...

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  8. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-...

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  9. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/...

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  10. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

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  11. The direction ratios of a normal to the plane passing throuhg (0,0,1)...

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  12. A variable plane is at a distance k from the origin and meets the coor...

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  13. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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  14. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

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  15. The equation of the plane containing the two lines (x-1)/2=(y+1)/(-1...

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  16. The direction ratios of the normal to the plane passing through the po...

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  17. The equation of a plane through the point (2, 3, 1) and (4, -5, 3) and...

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  18. The angle between the lines (x+4)/1=(y-3)/2=(z+2)/3 and x/3=(y-1)/(-2)...

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  19. The equation of the plane which is perpendicular bisector of the line ...

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  20. If the position vectors of the points A and B are 3hati+hatj+2hatk and...

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