Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryPlaneMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $P (0, 1, 2)$ be a point on the plane $P_{1} : x + 2 y + 3 z = 8$ . Let $Q$ be the only point on the plane $P_{2} : 2 x + 2 y + z = k$ ( $k > 0$ ) which lies at a distance of 5 units from point $P$ . On the basis of the above information, answer the following questions:

Vector perpendicular to $PQ$ which lies in the plane $P_{1}$ , can be

Options:

Answer:

Solution:

The required vector is along the line of intersection of $P_{1}$ and $P_{2}$ , i.e.,

$\hat{i} 21 \hat{j} 22 \hat{k} 13 = 4 \hat{i} - 5 \hat{j} + 2 \hat{k}$

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Plane

⏱ 2mℹ️ Source: QB

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