Let the points of intersections of the l...

Let the points of intersections of the lines `x -y +1 = 0, x -2y + 3 = 0 and 2x -5y + 11 = 0`are the mid points of the sides of a triangle ABC. Then the area of the triangle ABC is _______ .

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Knowledge Check

Point of intersection of two lines 3x+2y-7=0 and 5x+3y-11=0 is

A

(1,2)

B

(2,1)

C

(-1,-2)

D

(-2,-1)

In triangle ABC, the coordinates of the vertex A are , (4,-1) and lines x - y - 1 = 0 and 2x - y = 3 are the internal bisectors of angles B and C . Then the radius of the circles of triangle AbC is

A

`5/(sqrt(5))`

B

`3/(sqrt(5))`

C

`6/(sqrt(5))`

D

`7/(sqrt(5))`

Area of triangle formed by straight lines x - y = 0, x + y = 0 and 2 x = 1

A

`25`

B

`(25)/(2)`

C

`(25)/(4)`

D

None of these

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