The orthocentre of the triangle formed by the lines x–2y+9=0, x+y–9=0, 2x–y–9=0 is
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a
(5, 5)
b
(5, –5)
c
(–5, 5)
d
(–5,–5)
answer is A.
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Detailed Solution
Slope of BC =12perpendicular line slope is =−2By verificationOrthocenter=(5,5) Find the equations of the altitudes of the triangle and then find the point of intersection of altitudes