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A plane passing through (1,1,1) cuts pos...

A plane passing through `(1,1,1)` cuts positive direction of coordinates axes at `A ,Ba n dC ,` then the volume of tetrahedron `O A B C` satisfies a. `Vlt=9/2` b. `Vgeq9/2` c. `V=9/2` d. none of these

A

`Vle(9)/(2)`

B

`Vge(9)/(2)`

C

`V=(9)/(2)`

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

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

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

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

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

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

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

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

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

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

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

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