the vertices of a triangle lie on the line y equal to X tan theta1 and Y =xtantheta2 and y=x tantheta3 then the locus of orthocentre is
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Orthocenter, Centroid and circumcenter are collinear with centroid lying in between and trisecting the other two
3
C
−2
C
=
0
x coordinate of 0→3(
3
x
1
+x
2
+x
3
)=x
1
+x
2
+x
3
y coordinate of 0→3(
3
x
1
tanθ
1
+x
2
tanθ
2
+x
3
tanθ
3
)
=x
1
tanθ
1
+x
2
tanθ
2
+x
3
tanθ
3
∴
y
x
=
x
1
tanθ
1
+x
2
tanθ
2
+x
3
tanθ
3
x
1
+x
2
+x
3
Hence both expression are not equal
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