Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Easy2 minPYQ_2020

MathematicsEasysingle choice

The foot of the perpendicular drawn from the origin to the plane $x + y + 3 z - 4 = 0$ is

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Solution:

d.r. of $⊥$ er drawn from origin to the given plane are $1, 1, 3$ . Hence equation of $⊥ er$ line to the plane and passing through origin is $\frac{x}{1} = \frac{y}{1} = \frac{z}{3} = K$ ... say Now let foot of the $⊥$ er be $P (K, K, 3 K)$ Also this point P lies on given plane $∴ K + K + 9 K - 4 = 0 \Rightarrow 11 K = 4 \Rightarrow K = \frac{4}{11}$ Hence $P \equiv (\frac{4}{11}, \frac{4}{11}, \frac{12}{11})$

Stream:MHT_CETSubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Plane (Equations)

⏱ 2mℹ️ Source: PYQ_2020

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