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Q.

In ∆ABC, equation to AB is 2x+3y-5=0, altitude through A is x-y+4=0 and altitude through B is 2x-y-1=0. Then the vertex C is

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a

−15,95

b

15,95

c

15,-95

d

-15,-95

answer is B.

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Detailed Solution

Orthocentre =(5,9). Altitude through C which is perpendicular to AB¯   is 3x-2y+3=0
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In ∆ABC, equation to AB is 2x+3y-5=0, altitude through A is x-y+4=0 and altitude through B is 2x-y-1=0. Then the vertex C is