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If the line passes through the points P(...

If the line passes through the points P(6, - 1, 2), Q (8, -7, 2A) and R(5, 2, 4) then value of `lamda` is ..... .

A

`-3`

B

0

C

`-1`

D

2

Text Solution

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The correct Answer is:
C
Equation of the line passes through the points P(6,-1,2) and Q(8,-7,2`lamda`)
`!(x-6)/(8-6)=(y+1)/(-7+1)=(z-2)/(2lamda-2)`
`!(x-6)/2=(y+1)/(-6)=(z-2)/(2lamda-2)` …(i)
Line (i) passes through point R(5,2,4)
`therefore(5-6)/2=(2+1)/(-6)=(4-2)/(2pi-2)`
`!-1/2=3/(-6)=2/(2lamda-2)`
`!2/(2lamda-2)=-1/2!1/(lamda-1)=-1/2`
`!lamda-1=-2!lamda=-1`
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