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प्रश्न
A(1, −5), B(2, 2) and C(−2, 4) are the vertices of triangle ABC. Find the equation of the altitude of the triangle through B.
उत्तर
Let BE be the altitude of the triangle through B.
Slope of AC = `(4 + 5)/(-2 - 1) = 9/-3 = -3`
∴ Slope of BE = `(-1)/("slope of AC") = 1/3 `
Equation of altitude BE is
`y - 2 = 1/3 (x - 2)`
3y − 6 = x − 2
3y = x + 4
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