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If lines x=y=za n dx=y/2=z/3 and third l...

If lines `x=y=za n dx=y/2=z/3` and third line passing through `(1,1,1)` form a triangle of area `sqrt(6)` units, then the point of intersection of third line with the second line will be a. `(1,2,3)` b. `2,4,6` c. `4/3,6/3,(12)/3` d. none of these

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

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  3. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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

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  6. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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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. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

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  9. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

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  10. The vector equations of two lines L1 and L2 are respectively vec r=1...

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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. Intercept made by the circle zbarz+bara+a barz+r=0 on the real axis ...

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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. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

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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. A variable plane forms a tetrahedron of constant volume 64k^3 with the...

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  18. Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutual...

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

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