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Question

The length of the perpendicular drawn from the point P(3,4,5) on y-axis is

A
10
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B
34
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C
113
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D
52
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Solution

The correct option is B 34
equation of y-axis in cartesian form is
x0=y1=z0=λ (Say)
General point an y-axis is (0,λ,0)
direction caelne of PL
=(30,4λ,20)
=(3,4λ,2)
PL is prependicular to y-axis, then
3×0+(4λ)1+2×0=0
4λ=0
λ=4
So L=(0,4,0) and P(3,4,5)
PL(30)2+(94)2

PL=9+0+25

PL=34

2047438_1668036_ans_eb14af4285af4f15988aec98ce697a58.png

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