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# The Distance of the Point P (A, B, C) from the X-axis is ,√ B 2 + C 2√ a 2 + C 2,√ a 2 + B 2,None of These. - CBSE (Arts) Class 12 - Mathematics

ConceptDirection Cosines and Direction Ratios of a Line

#### Question

The distance of the point P (abc) from the x-axis is

• $\sqrt{b^2 + c^2}$

• $\sqrt{a^2 + c^2}$

• $\sqrt{a^2 + b^2}$

• none of these

#### Solution

$\left( a \right) \sqrt{b^2 + c^2}$

$\text{ The projection of the point P } \left( a, b, c \right) \text{ on the x - axis is } \left( a, 0, 0 \right) \text{ as both Y and Z coordinates on any point on the x - axis are equal to zero } .$

$\therefore \text{ Distance of P } \left( a, b, c \right) \text{ from x - axis = Distance of P } \left( a, b, c \right) \text{ from } \left( a, 0, 0 \right)$

$= \sqrt{\left( a - a \right)^2 + \left( b - 0 \right)^2 + \left( c - 0 \right)^2}$

$= \sqrt{b^2 + c^2}$

Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [3]

Solution The Distance of the Point P (A, B, C) from the X-axis is ,√ B 2 + C 2√ a 2 + C 2,√ a 2 + B 2,None of These. Concept: Direction Cosines and Direction Ratios of a Line.
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