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Find the equation of the plane whch pass...

Find the equation of the plane whch passes through the line `a_1x+b_1y+c_1y+c_1z+d_1=0 a_2x+b_2y+c_2z+d_2=0` and which is parallel to the line `(x-alpha)/l=(y-beta)/m=(z-gamma)/n`

A

`(a_(2)l+b_(2)m+c_(2)n)(a_(1)x+b_(1)y+c_(1)z+d_(1))+(a_(1)l+b_(1)m+c_(1)n)(a_(2)x+b_(2)y+c_(2)z+d_(2))=0`

B

`(a_(2)l+b_(2)m+c_(2)n)(a_(1)x+b_(1)y+c_(1)z+d_(1))-(a_(1)l+b_(1)m+c_(1)n)(a_(2)x+b_(2)y+c_(2)z+d_(2))=0`

C

`(a_(1)l+b_(1)m+c_(1)n)(a_(1)x+b_(1)y+c_(1)z+d_(1))+(a_(2)l+b_(2)m+c_(1)n)(a_(2)x+b_(2)y+c_(2)z+d_(2))=0`

D

`(a_(1)l+b_(1)m+c_(1)n)(a_(1)x+b_(1)y+c_(1)z+d_(1))-(a_(2)l+b_(2)m+c_(1)n)(a_(2)x+b_(2)y+c_(2)z+d_(2))=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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