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Properties of Triangle question

2024 · 4 Apr · Shift 2 · Q54

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JEE Main
Mathematics
Properties of Triangle
2024 · 4 Apr · Shift 2 · Q54

Properties of Triangle question

2024 · 4 Apr · Shift 2 · Q54

JEE MainMathematicsProperties of TriangleNumerical+4 / −1

Consider a triangle

\mathrm{ABC}

having the vertices

\mathrm{A}(1,2), \mathrm{B}(\alpha, \beta)

and

\mathrm{C}(\gamma, \delta)

and angles

\angle A B C=\frac{\pi}{6}

and

\angle B A C=\frac{2 \pi}{3}

. If the points

\mathrm{B}

and

\mathrm{C}

lie on the line

y=x+4

, then

\alpha^2+\gamma^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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