1.

Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The point R inside the triangles OPQ is such that the triangles OPR, PQR, OQR are of equal area. The coordinates of R are (1) `(4/3,3)` (2) `(3,2/3)` (3) `(3, 4/3)` (4) `(4/3,2/3)`

Answer» Area of `/_ORQ=1/3`Area of `/_OPQ`
`=1/3*1/2*4*6`
`=4 unit^2`
Areaof `/_ORQ=1/2*h*6`
`4=3h `
`h=4/3`
Co-ordinates of `R(3,4/3)`.


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