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Let P(1) denotes the equation of the pla...

Let `P_(1)` denotes the equation of the plane to which the vector `( hati+ hatj)` is normal and which constains the line (L) whose equation is `vecr =hati+ hatj+ hatk+ lambda( hati- hatj- hatk)` and `P_(2)` denotes the equation of the plane containing the line L and a pouint with position of the ` hatj ` which of the following holds good?

A

The equation `P_(1) is x+y=2`

B

The equation `P_(2) is vecr .( hati-2n hatj+ hatk)=2`

C

The acute angle between `P_(1) and P_(2) is cost ^(1) sqrt3`

D

The angle between the pl,ane `P_(2)` and the line (L) is ` tan^(-1 sqrt3`

Text Solution

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The correct Answer is:
A, C
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