Home
Class 12
MATHS
Let O(0,0), P(3,4), Q(6,0) be the vertic...

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)`

Text Solution

Verified by Experts

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)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle O P Q . The point R inside the triangle O P Q is such that the triangle O P R, P Q R and O Q R are of equal area. The coordinates of R are

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (a) (4/3,3) (b) (3,2/3) (c) (3,4/3) (d) (4/3,2/3)