Let the position vectors of the vertices of a triangle ABC be \overline{ {\a}}, \overline{ {\b}}, \overline{ {\c}}. If on the plane of the triangle, P is a point having position vector \overline{x} such that \overline{x} \cdot(\overline{c}-\overline{b})=\overline{a} \cdot \overline{c}-\overline{a} \cdot \overline{b} and \overline{x} \cdot(\overline{a}-\overline{c})=\overline{a} \cdot \overline{b}-\overline{b} \cdot \overline{c}, then for the triangle A B C, P is the [AP EAPCET 21 May 2025 S2]

Correct Answer is : Orthocentre

AP EAPCET 21 May 2025 Shift 2 Paper

Section: Mathematics

Question : 29 of 160

Marks: +1, -0

Let the position vectors of the vertices of a triangle ABC be a,b,c. If on the plane of the triangle, P is a point having position vector x such that x⋅(c−b)=a⋅c−a⋅b and x⋅(a−c)=a⋅b−b⋅c, then for the triangle ABC, P is the

[AP EAPCET 21 May 2025 S2]

Centroid
Circumcenter
Incentre
Orthocentre

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