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The equation of the line passing through...

The equation of the line passing through `(1, 1, 1)` and perpendicular to the line of intersection of the planes `x+2y-4z=0 and 2x-y+2z=0` is

A

`(1, 2, 3)`

B

`(2, 4, 6)`

C

`((4)/(3), (8)/(3), (12)/(3))`

D

None of these

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. In a three-dimensional coordinate system, P ,Q ,and R are images of ...

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  2. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  3. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  4. The equation of the plane through the intersection of the planes x+y+z...

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  5. Two system of rectangular axes have the same origin. If a plane cuts t...

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  6. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

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  7. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

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  8. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

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  9. Find the shortest distance between the lines given by the equations ve...

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  10. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

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  11. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

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  12. Find the equation of the plane with intercept 3 on the y-axis and para...

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  13. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

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  14. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

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  15. What is 15% Equals to

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  16. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  17. Find the value of x Equation is x+7=6

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  18. Let a,b,c are three vectors of which every pair is non-collinear, if t...

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  19. Equations of the line which passe through the point with position vect...

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  20. Which of the following pairs of linear equations are consistent ? Obta...

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