Question

distance z vo from this point.
20. A tringle has its three sides formed by the lines x+y= 3, x + 3y = 3 and 3x + 2y = 6. Whithout
solving for the vertices, find the equation of its altitudes and also calculate the angles of the
traingle.​

Answer 1

Answer:

ANSWER

Let the point of intersection of lines x+y=1 and 3x+5y=2 be A(h,k)

By solving those two equations , we get h=

2

3

,k=−

2

1

Let the point of intersection of lines x+y=1 and x−y=0 be B(p,q)

By solving above equations , we get p=

2

1

,q=

2

1

The equation of line passing through A and perpendicular to line x−y=0 is (y+

2

1

)=−1(x−

2

3

)

⇒x+y=1

Therefore point B is orthocenter

point B(

2

1

,

2

1

) lies on 3x−5y+1=0 and 5x−3y=1

Therefore the correct option is B,D