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3D Geometry question

2022 · 28 Jul · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
3D Geometry
2022 · 28 Jul · Shift 1 · Q39

3D Geometry question

2022 · 28 Jul · Shift 1 · Q39

JEE MainMathematics3D GeometryNumerical+4 / −1

Let

\mathrm{P}(-2,-1,1)

and

\mathrm{Q}\left(\frac{56}{17}, \frac{43}{17}, \frac{111}{17}\right)

be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are

\alpha,-1, \beta

, where both

\alpha

and

\beta

are integers of minimum absolute values, then

\alpha^{2}+\beta^{2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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