Home
Class 12
MATHS
If P( 2, 2), Q( -2, 4) and R( 3, 4) are ...

If P( 2, 2), Q( -2, 4) and R( 3, 4) are the vertices of `Delta`PQR then the equation of the median through vertex R is ...

A

x + 3y + 9 = 0

B

x - 3y + 9 = 0

C

X - 3 y - 9 = 0

D

X + 3 y - 9 = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Mid -point of point `P(2,2)` and `Q(-2,4)` is
`((2-2)/(2) ,(2+4)/(2))`
i.e.,

Required equtions of median passing throught vertex R is
`y - 4 = (3-4)/(0-3) (x-3)`
`rArr " " y - 4 = (1)/(3) (x - 3)`
`rArr" " 3y - 12 = x- 3`
`rArr x - 3y + 9 = 0`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2018

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

  • MHTCET 2019 PAPER 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

If A(2,2),B(-4,-4) and C(5,-8) are the vertices of a triangle,then the lengthof the median through vertex C is.

If p (3, 2, 3), Q (4, 6, 2), R (7, 3, 2) are the vertices of DeltaPQR , then find angleQPR=

If P(1, 2), Q(4, 6), R(6, 7) and S(a, b) are the vertices of a parallelogram PQRS, then

The vertices of a triangle are (2,0)(0,2)(4,6) then the equation of the median through the vertex (2,0) is

The vertices of a triangle are (2,0) (0,2) (4,6) then the equation of the median through the vertex (2,0) is

Consider a triangle with vertices A(1,2),B(3,1), and C(-3,0). Find the equation of altitude through vertex A .the equation of median through vertex A .the equation of internal angle bisector of /_A.

If P (1, 2), Q (4, 6), R (5, 7) and S (a, b) are the vertices of a parallelogram PQRS, then

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2019 PAPER 1-MATHEMATICS
  1. The angle between lines (x-2)/1=(y-3)/2=(z-5)/2and (x-2)/2=(y-3)/-2=(z...

    Text Solution

    |

  2. If the line passes through the points P(6, - 1, 2), Q (8, -7, 2A) and ...

    Text Solution

    |

  3. The equivalent for of the statement ~(p to ~ q) is

    Text Solution

    |

  4. If A={x in R//x^(2)+5|x|+6=0} then n(A)= . . .

    Text Solution

    |

  5. If the f(x)=(log(1+ax)-log(1-bx))/x, xne0 is continuous at x = 0 the...

    Text Solution

    |

  6. The co-ordinates of the foot of perpendicular drawn from origin to the...

    Text Solution

    |

  7. int(sqrt(x^(2)-a^(2)))/xdx=…… .

    Text Solution

    |

  8. The maximum value of z=9x+11y subject to 3x+2yle12,2x+3yle12,xge0,yge0...

    Text Solution

    |

  9. int(0)^(4)1/(1+sqrtx)dx=…..

    Text Solution

    |

  10. The number of solutions of sin^(2)theta=1/2in [0,pi] is ……

    Text Solution

    |

  11. If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-...

    Text Solution

    |

  12. Which of the following equations has no solution?

    Text Solution

    |

  13. The minimum value of z = 10x + 25y subject to 0lexle3,0leyle3,x+yle5 i...

    Text Solution

    |

  14. If f(x)=3x^(3)-9x^(2)-27x+15,t hen the maximum value of f(x) is

    Text Solution

    |

  15. The equation of the plane passing through the point (-1, 2, 1) and per...

    Text Solution

    |

  16. If the lengths of the transverse axis and the latusrectum of a hyperbo...

    Text Solution

    |

  17. The value of tan^(-1)1/3+tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is ……..

    Text Solution

    |

  18. The joint equation of lines passing through the origin and trisecting ...

    Text Solution

    |

  19. If P( 2, 2), Q( -2, 4) and R( 3, 4) are the vertices of DeltaPQR then ...

    Text Solution

    |

  20. If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that,dy...

    Text Solution

    |