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Vector Algebra question

2023 · 10 Apr · Shift 1 · Q30

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JEE Main
Mathematics
Vector Algebra
2023 · 10 Apr · Shift 1 · Q30

Vector Algebra question

2023 · 10 Apr · Shift 1 · Q30

JEE MainMathematicsVector AlgebraMCQ+4 / −1

An arc PQ of a circle subtends a right angle at its centre O. The mid point of the arc PQ is R. If

\overrightarrow {OP} = \overrightarrow u ,\overrightarrow {OR} = \overrightarrow v

, and

\overrightarrow {OQ} = \alpha \overrightarrow u + \beta \overrightarrow v

, then

\alpha ,{\beta ^2}

are the roots of the equation :

A
${x^2} + x - 2 = 0$
B
$3{x^2} + 2x - 1 = 0$
C
$3{x^2} - 2x - 1 = 0$
D
${x^2} - x - 2 = 0$

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