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If the line (x)/(1)=(y)/(2)=(z)/(3) inte...

If the line `(x)/(1)=(y)/(2)=(z)/(3)` intersects the line `3beta^2x+3(1-2alpha)y+z=3=-(1)/(2){(6alpha^2x+3(1-2beta)y+2z)}` then point `(alpha, beta, 1)` lie on the plane

A

`2x-y+z=4`

B

`x+y-z=2`

C

`x-2y=0`

D

`2x-y=0`

Text Solution

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The correct Answer is:
(a, b, c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (More Than One Correct Option Type Questions)
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  15. If the plane passing through the origin and parallel to the line (x-1)...

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  16. Let OABC be a regular tetrahedron with side length unity, then its vol...

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  17. The OABC is a tetrahedron such that OA^2+BC^2=OB^2+CA^2=OC^2+AB^2,then

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  18. If the line (x)/(1)=(y)/(2)=(z)/(3) intersects the line 3beta^2x+3(1-2...

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  19. Let PM be the perpendicular from the point P(1, 2, 3) to XY-plane. If ...

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