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Properties of Triangle question

2025 · 22 Jan · Shift 2 · Q46

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JEE Main
Mathematics
Properties of Triangle
2025 · 22 Jan · Shift 2 · Q46

Properties of Triangle question

2025 · 22 Jan · Shift 2 · Q46

JEE MainMathematicsProperties of TriangleNumerical+4 / −1

Let

\mathrm{A}(6,8), \mathrm{B}(10 \cos \alpha,-10 \sin \alpha)

and

\mathrm{C}(-10 \sin \alpha, 10 \cos \alpha)

, be the vertices of a triangle. If

L(a, 9)

and

G(h, k)

be its orthocenter and centroid respectively, then

(5 a-3 h+6 k+100 \sin 2 \alpha)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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