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Line of intersection of the two planes b...

Line of intersection of the two planes `barr.(3i - j + k)=1` and `barr.(i+4j-2k)=2` is parallel to the vector

A

`-2i+7j+13k`

B

`2i+7j-13k`

C

`-2i+7j-13k`

D

`2i+7j+13k`

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. Find the equation of a line which passes through a given point of posi...

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  2. If the line r=(i+j-k)+lambda(3i-j)andr=(4i-k)+mu(2i+3k) intersect at t...

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  3. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

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  4. The plane x-2y+7z+21=0 (A) contains the line (x+1)/(-3)=(y-3)/2=(z+2)/...

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  5. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  6. The plane x/a+y/b+z/c=1 meets the coordinaste axces in points A,B,C re...

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  7. The lines r=a+lambda(bxxc)andr=b+mu(cxxa) will intersect if

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  8. The shortest distance between the lines r=(4i-j)+lambda(i+2j-3k) and...

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  9. The co-ordinates of a point on the line x=4y+5,z=3y-6 at a distance 3s...

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  10. If theta denotes the acute angle between the line r=(i+2j-k)+lambda(i-...

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  11. 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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  12. Equation of a plane bisecting an angle between the plane r.(i+2j+2k)=1...

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  13. If the line (x-1)/(2)=(y-3)/(a)=(z+1)/(3) lies in the plane bx+2y+3z-4...

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  14. Equation of the plane passing through the points i+j-2k,2i-j+kandi+2j+...

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  15. The line of shortest distance between the lines (x-1)/(2)=(y+8)/(-7)...

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  16. If r.n=q is the equation of a plane normal to the vector n, the length...

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  17. If the foot of the perpendicular from the origin to plane is P(a ,b...

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  18. The plane passing through the point (-2,-2, 2) and containing the line...

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  19. Equation of a line passing through the point whose position vector is ...

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  20. The lines r=i-j+lambda(2i+k) and r=2i-j+mu(i+j-k)

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