Let $\mathrm{O}$ be origin and point $P_1(1,1,1)$ lie on $L_1=x=y=z$. Projection of $O P_1$ on x-axis be $O M_1$. Projection of $O M_1$ on $L_1$ be $O P_2$ and so on. Then the value of $\left|P_1 M_1\right|+\left|P_2 M_2\right| \ldots \ldots \infty$

JEE MATHEMATICS MCQ: 3D GEOMETRY SYSTEM

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Analyzing +4 | -1

Let

\mathrm{O}

be origin and point

P_1(1,1,1)

lie on

L_1=x=y=z

. Projection of

O P_1

on x-axis be

O M_1

. Projection of

O M_1

L_1

O P_2

and so on. Then the value of

\left|P_1 M_1\right|+\left|P_2 M_2\right| \ldots \ldots \infty

View answer and explanation

Correct option: B

\frac{3}{\sqrt{2}}

Option B (

\frac{3}{\sqrt{2}}

) is correct because it represents the sum of an infinite geometric series formed by the projections.

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B(4,7,1)

C(3,5,3)

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