Home
Class 12
MATHS
Prove using vectors: Medians of a triang...

Prove using vectors: Medians of a triangle are concurrent.

Promotional Banner

Topper's Solved these Questions

  • MARCH 2016

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION II|20 Videos

  • MARCH 2015

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

  • MARCH 2017

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

Similar Questions

Explore conceptually related problems

Prove using vectors: If two medians of a triangle are equal,then it is isosceles.

Prove that the internal bisectors of the angles of a triangle are concurrent

Prove that the medians of a triangle are concurrent and find the position vector of the point of concurrency (that is,the centroid of the triangle)

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

The coordinates of points A, B and C are (1, 2), (-2, 1) and (0, 6) . Verify if the medians of the triangle ABC are concurrent..

Prove using vectors: The median to the base of an isosceles triangle is perpendicular to the base.

Show,by vector methods,that the angularbisectors of a triangle are concurrent and find an expression for the position vector of the point of concurrency in terms of the position vectors of the vertices.

Prove that sum of any two medians of a triangle is greater than the third median.

Prove that any two sides of a triangle are together greater than twice the median drawn to the third side.

GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2016-SECTION II
  1. Prove using vectors: Medians of a triangle are concurrent.

    Text Solution

    |

  2. If the function f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} ...

    Text Solution

    |

  3. The equation of tangent to the curve y=x^(2)+4x+1 at (-1, -2) is

    Text Solution

    |

  4. Given that X ~ B( n=10, p) .If E (x) = 8, find the value of p .

    Text Solution

    |

  5. If y=x^(x), "find" (dy)/(dx).

    Text Solution

    |

  6. The displacement s of a moving particle at a time t is given by s=5+20...

    Text Solution

    |

  7. Find the area bounded by the curve y ^ 2 = 4ax, X - axis and...

    Text Solution

    |

  8. The probability distribution of a discrate random variable X is : {...

    Text Solution

    |

  9. Evaluate: int (sinx)/(sqrt(36-cos ^(2)x))dx

    Text Solution

    |

  10. If y =f(u) is differentiable function of u, and u=g(x) is a differenti...

    Text Solution

    |

  11. The probability that a person who undergoes kidney operation will reco...

    Text Solution

    |

  12. Evaluate : int(0)^(pi)(x)/(a^(2)cos^(2)x+b^(*2)sin^(2)x)dx

    Text Solution

    |

  13. Discuss the conjinuity of the functions at the points shown against t...

    Text Solution

    |

  14. Prove that : intsqrt(a^(2)-x^(2))dx=x/2sqrt(a^(2)-x^(2))+(a^(2))/(2)...

    Text Solution

    |

  15. A body is heated to 110^(@)C and placed in air at 10^(@)C. After 1 ho...

    Text Solution

    |

  16. Prove that : int(0)^(2a) f(x)dx=int(0)^(a) f(x)dx+int(0)^(a) f(x)dx+in...

    Text Solution

    |

  17. int(1+logx)/(x(2x+log x)(3+logx))dx (March '16)

    Text Solution

    |

  18. cos^(-1)(2xsqrt(1-x^(2)))

    Text Solution

    |

  19. Solve the differential equation cos (x+y) dy=dx. Hence find the partic...

    Text Solution

    |

  20. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  21. The following is the p.d.g. (Probability Density Function) of a contin...

    Text Solution

    |