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Q.

The orthocentre of triangle formed by lines xy+3x+3y+9 = 0 and the line 3x+4y–5=0 is

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a

(3, 3)

b

(–3,3)

c

(–3, –3)

d

(3, –3)

answer is D.

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Detailed Solution

a+b=0given pair of  lines are perpendicular to each other.

orthocentre is point of intersection of perpendicular pair of lines
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xy+3x+3y+9=0(x+3)(y+3)=0x=3,y=30=(3,3)

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