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INTRODUCTION TO THREE DIMENSIONAL GEOMETRY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSINTRODUCTION TO THREE DIMENSIONAL GEOMETRY1 Mark
MCQ
Choose the correct answer. What is the length of foot of perpendicular drawn from the point P(3, 4, 5) on y-axis.
  • A
    $\sqrt{41}$
  • ✓
    $\sqrt{34}$
  • C
    $5$
  • D
    $\text{None of these.}$
✓

Answer

Correct option: B.
$\sqrt{34}$
We know that, on the y-axis x = 0 and z = 0.
$\therefore$ Point $\text{A}\equiv(0,4,0)$
$\therefore\text{PA}=\sqrt{(0-3)^2+(4-4)^2+(0-5)^2}$
$=\sqrt{9+0+25}=\sqrt{34}$

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