Q.

In an isosceles triangle OAB,O is the origin and OA=OB=6 . The equation of the side AB is x−y+1=0 . Then the  area of the triangle is

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a

221

b

142

c

1422

d

712

answer is D.

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Detailed Solution

Let D be the mid point of AB . OD=ca2+b2=12AD=62−OD2=36−12=712∴ Area of triangle =12AB×OD=712⋅12=712
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In an isosceles triangle OAB,O is the origin and OA=OB=6 . The equation of the side AB is x−y+1=0 . Then the  area of the triangle is