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Let O(0, 0), P(3, 4), Q(6, 0) be the ver...

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

A

(4/3, 3)

B

(3, 2/3)

C

(3, 4/3)

D

(4/3, 2/3)

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • 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 area. The co-ordinates of R are

    A
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    B
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    C
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    D
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  • Let A (0,2 ) , B ( 3, 0 ) , C ( 6, 4 ) be the vertices of triangle and P is a point inside the triangle such that area of triangle APB, BPC and CPA are equal. Equation of circle circumscribing Delta APB is :

    A
    ` x ^ 2 + y^ 2 - 2x - 3y = 0`
    B
    ` x ^ 2 + y ^ 2 - 4x - 3y = 0 `
    C
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    D
    ` x ^ 2 + y^ 2 - 3x - 2y = 0`

  • The points P(0, 6), Q(-5, 3) and R(3, 1) are the vertices of a triangle which is

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    equilateral
    B
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    C
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    D
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