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Q.

Let the line x23=y15=z+22 lie in the plane x+3yαz+β=0then  α,β = ______

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a

(5, -15)

b

(-6, 7)

c

(6, -17)

d

(-5, 5)

answer is A.

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Detailed Solution

x23=y15=z+22(1)

Ax1,y1,z1=2,1,2

l,m,n=3,5,2  & x+3yαz+β=0(2)

a=1,b=3,c=α

Line (1) lines on the plane (2)

(1)  al+bm+cn=0

(II)  ax1+by1+cz1+d=0

3152α=0     β=  7

122α=0

α=6

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