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Consider an equilateral \( \Delta PQR \), where \( P(3, 5) \) and the side \( QR \) lies on the line \( x + y = 4 \). If the orthocentre of \( \Delta PQR \) is \( (\alpha, \beta) \), then \( 9(\alpha + \beta) \) is equal to:

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For equilateral triangles, always remember the "Four-in-One" rule: Centroid = Orthocentre = Incentre = Circumcentre. This allows you to use the simple \( 2:1 \) centroid property.

Updated On: Apr 6, 2026

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The Correct Option is B

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Consider an equilateral \( \Delta PQR \), where \( P(3, 5) \) and the side \( QR \) lies on the line \( x + y = 4 \). If the orthocentre of \( \Delta PQR \) is \( (\alpha, \beta) \), then \( 9(\alpha + \beta) \) is equal to:

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The Correct Option is B

Solution and Explanation

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