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

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 `(4/3,3)` (b) `(3,2/3)` `(3,4/3)` (d) `(4/3,2/3)`

A

(4/3,3)

B

(3,2/3)

C

(3,4/3)

D

(4/3,2/3)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 1: CONCEPT BUILDER|60 Videos
  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

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 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 OPQ .The point R inside the triangle OPQ is such that the triangles OPR,PQR,OQR are of equal area.The coordinates of R are ((4)/(3),3) (b) (3,(2)/(3))(3,(4)/(3)) (d) ((4)/(3),(2)/(3))

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,(2)/(3))(3)(3,(4)/(3))(4)((4)/(3),(2)/(3))

"P"(6," "3," "2)," Q"(5," "1," "3)"andR"(3," "3," "5) are three vertices of a triangle "P Q R"dot Find /_"P Q R"dot

The vertices of a triangle are (p q ,1/(p q)),(p q)),(q r ,1/(q r)), and (r q ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are (1,2) (b) 2,-1) (1,-1) (d) 2,3)

Find the area of the triangle formed by the points P(-1.5,3),Q(6,-2) and R(-3,4)

In ∆PQR , if 3 ∠P = 4∠Q = 6∠R , calculate the angles of the triangle.

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

DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 2: CONCEPT APPLICATOR
  1. If the point P(x, y) be equidistant from the points A(a + b, b - a) an...

    Text Solution

    |

  2. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  3. The co-ordinates of the orthocentre of the triangle bounded by the lin...

    Text Solution

    |

  4. The equations of the sided of a triangle are x+y-5=0,x-y+1=0, and x+y-...

    Text Solution

    |

  5. A light ray coming along the line 3x+4y=5 gets reflected from the line...

    Text Solution

    |

  6. A line AB makes zero intercepts on X-axis and Y-axis and it is perpend...

    Text Solution

    |

  7. A light ray emerging from the point source placed at P(2,3) is reflect...

    Text Solution

    |

  8. If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....

    Text Solution

    |

  9. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the lin...

    Text Solution

    |

  10. For which value of 'p', y^(2)+xy+px^(2)-x-2y=0 represents a pair of st...

    Text Solution

    |

  11. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)...

    Text Solution

    |

  12. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  13. A vertex of an equileteral triangle is (2;3) and the equation of the o...

    Text Solution

    |

  14. The value of lambda for which the lines joining the point of intersect...

    Text Solution

    |

  15. For a gt b gt c gt 0 if the distance between (1,1) and the point of i...

    Text Solution

    |

  16. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...

    Text Solution

    |

  17. Find the image of the point (4,-13) in the line 5x+y+6=0.

    Text Solution

    |

  18. If a pair of perpendicular straight lines drawn through the origin ...

    Text Solution

    |

  19. The equation of straight line passing through (-a ,0) and making a tri...

    Text Solution

    |

  20. Given a family of lines a(2x +y+4) + b(x-2y-3)=0 .The number of lines ...

    Text Solution

    |