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Let P be any point in the plane of the triangle ABC whose orthocentre is H, such that angle BAC = angle BPC. If D is the middle point of BC and E is the middle point of PH then prove by vector method or otherwise that DE perpendicular to AP.

Let P be any point in the plane of the triangle ABC whose orthocentre is H, such that angle BAC = angle BPC. If D is the middle point of BC and E is the middle point of PH then prove by vector method or otherwise that DE perpendicular to AP.

Grade:10

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