Let \( P \) be a plane \( l x+m y+n z=0 \) containing the line, \( \frac{1-x}{1}=\frac{y+4}{2}=\frac{z+2}{3} \) . If pane \( P \) divides the line segments \( A B \) joining pionts \( A(-3,-6,1) \) and \( B(2,4,-3) \) in ratio \( k: 1 \) then the value of \( k \) is equal to :

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khadarabad · Answer 1 · 2024-04-05T06:59:14+0000

Point on the line

Now Equation of the Plan P : 8x+y+2z =0

Let the Point Z divide line AB joining point A(-3,-6,1) and B (2,4,-3) in the ratio of k:1

Z lies on Plan P