Questions
Find the ratio in which the yz-plane divides the line segment formed by joining the points (- 2, 4,7) and (3, - 5, 8).
a
externally 2:3
b
internally 2:3
c
internally 3 :2
d
externally 3: 2
detailed solution
Correct option is B
The given points are A(-2,4,7 ) and B(3,- 5, 8). Let the point P (0, y, z) in yz-plane divides AB in the ratio k:1, thenr-coordinate of point P=mx2+nx1m+nk×3+1×(−2)k+1=0[∵x-coordinate of p is zero]⇒ 3k−2 =0⇒k=23⇒ k:1 =2:3yz-plane divides the segment internally in the ratio 2:3.Talk to our academic expert!
Similar Questions
If R divides the line segment joining P(2,3,4) and Q (4,5,6) in the ratio -3:2 ,then the value of the parameter which represents R is
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