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Properties of Triangle question

2024 · 9 Apr · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Properties of Triangle
2024 · 9 Apr · Shift 2 · Q35

Properties of Triangle question

2024 · 9 Apr · Shift 2 · Q35

JEE MainMathematicsProperties of TriangleMCQ+4 / −1

Two vertices of a triangle

\mathrm{ABC}

are

\mathrm{A}(3,-1)

and

\mathrm{B}(-2,3)

, and its orthocentre is

\mathrm{P}(1,1)

. If the coordinates of the point

\mathrm{C}

are

(\alpha, \beta)

and the centre of the of the circle circumscribing the triangle

\mathrm{PAB}

is

(\mathrm{h}, \mathrm{k})

, then the value of

(\alpha+\beta)+2(\mathrm{~h}+\mathrm{k})

equals

A
81
B
15
C
51
D
5

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