Let {\P}(-2,-1,1) and {\Q}(\frac{56}{17}, \frac{43}{17}, \frac{111}{17}) 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 _______. [28-Jul-2022-Shift-1]

Three Dimensional Geometry Part 3

Section: Mathematics

Question : 93 of 100

Marks: +1, -0

Let P(−2,−1,1) and Q(‌

,‌

111

) be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are α,−1,β, where both α and β are integers of minimum absolute values, then α2+β2 is equal to _______.

[28-Jul-2022-Shift-1]

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