The length of theperpendicular drawn from `(1,2,3)`to the line `(x-6)/3=(y-7)/2=(z-7)/(-2)`isa. `4`b. `5`c. `6`d. `7`A. 5 unitsB. 7 unitsC. 4 unitsD. None of these

The length of theperpendicular drawn from `(1,2,3)`to the line `(x-6)/

1.	The length of theperpendicular drawn from `(1,2,3)`to the line `(x-6)/3=(y-7)/2=(z-7)/(-2)`isa. `4`b. `5`c. `6`d. `7`A. 5 unitsB. 7 unitsC. 4 unitsD. None of these
Answer» Correct Answer - B Let L be the foot the perpendicular drawn from the point ` P ( 1, 2 , 3 ) ` to the given line. Let the co - ordinates of L be ` ( 3 lamda + 6, 2 lamda + 7, - 2lamda + 7 ) " " `…(i) ` therefore ` Direction ratios of the given line are proportional to 3, 2, - 2 Since PL is perpendicular to the given line. ` therefore 3 ( 3 lamda + 5 ) + 2 ( 2 lamda + 5 ) + ( - 2 ) ( - 2 lamda + 4 ) = 0 ` ` rArr lamda = - 1 ` Hence, co - oridinates of L are ` ( 3, 5, 9 ) ` therefore PL = sqrt ( ( 3 - 1 ) ^ 2 + ( 5 - 2 ) ^ 2 + ( 9 - 3 ) ^ 2 )) = ` 7 units

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The length of theperpendicular drawn from `(1,2,3)`to the line `(x-6)/3=(y-7)/2=(z-7)/(-2)`isa. `4`b. `5`c. `6`d. `7`A. 5 unitsB. 7 unitsC. 4 unitsD. None of these

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