Questions

Suppose that the point R lies on the line segment joining the points P(2, -3, 4) and 0(8, 0, 10) with $x-$co ordinate 6. Then distance of, R from origin is

60 mins Expert Faculty Ask Questions

a

47

b

41

c

53

d

37

detailed solution

Correct option is C

Suppose R divides PQ in the ratio k : 1. ∴ R≡8k+2k+1,−3k+1,10k+4k+1It is given that the x--coordinate of point R is 6. ∴ 8k+2k+1=6⇒8k+2=6k+6⇒ 2k=4⇒k=2Therefore, the coordinates of point R are given by6,−32+1,10×2+42+4≡(6,−1,4)

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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