Home
Class 12
MATHS
Let in DeltaABC coordinates of vertex A ...

Let in `DeltaABC` coordinates of vertex A is (0,0). Equation of the internal angle bisector of `/_ABC` is `x + y - 1 = 0` and mid-point of BC is (1,3). The ordinate of vertex C is

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 15

    NTA MOCK TESTS|Exercise MCQS (MATH)|25 Videos

  • JEE MOCK TEST 18

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Let in DeltaABC the coordinates of A are (0, 0). Internal angle bisector of angle ABC is x-y+1=0 and mid - point of BC is (-1, 3) . Then, the ordinate of C is

In /_ABC, vertex A is (1,2). If the internal angle bisector of /_B is 2x-y+10=0 and the perpendicular bisector of AC is y=x ,then find the equation of BC

In a triangle ABC ,if the centroid is (2,0) and the mid point of BC is (1,3) then A=

Let ABC be a triangle such that the coordinates of the vertex A are (3,1). Equation of the median through B is 2x+y-3=0 and equation of the angular bisector of C is 7x-4y-1=0. Find the slope of line BC.

In a triangle ABC,A(1,3) and perpendicular bisector of AB is y=x and orthocentre of triangle ABC is (3,1), then locus of vertex C is

Equation of angle bisector of the lines 3x-4y+1=0 and 12x+5y-3=0 containing the point (1,2)

The equation of the perpendicular bisector of the side AB of a triangle ABC is x-y+5=0 . If the point A is (1,2) , find the co-ordinates of the point B .

If in a Delta ABC, B is orthocentre and if circumcentre of Delta ABC is (2,4) and vertex A is (0,0) then co-ordinates of vertex 'C' is

If in a Delta ABC ,B is orthocentre and if circumcentre of Delta ABC is (2,4) and vertex A is (0,0) then co-ordinates of vertex C is

NTA MOCK TESTS-JEE MOCK TEST 17-MATHEMATICS
  1. A plane P = 0, which is perpendicular to line (x-2)/2 = (y+2)/(2) = (z...

    Text Solution

    |

  2. If A^2 = A, then (I + A)^(4) is equal to

    Text Solution

    |

  3. The mean and variance of a data set comprising 15 observations are 15 ...

    Text Solution

    |

  4. If A = {x : x = 6^n - 5n - 1, n in N} and B = {x : x = 25(n - 1), n in...

    Text Solution

    |

  5. If f (tan x) = cos 2x , x != (2n + 1) pi/2, n in I then incorrect stat...

    Text Solution

    |

  6. The value of lim(x to pi) (tan(picos^2 x))/(sin^2 x) is equal to

    Text Solution

    |

  7. If f(x) = ((2 + x)/(1 + x))^(1 + x), then f'(0) is equal to

    Text Solution

    |

  8. Total number of lines touching atleast two circles of the family of fo...

    Text Solution

    |

  9. The locus of the middle points of the chords of the parabola y^(2)=4ax...

    Text Solution

    |

  10. A flagstaff stands vertically on a pillar, the height of the flagstaff...

    Text Solution

    |

  11. If z=3-4i then z^4-3z^3+3z^2+99z-95 is equal to

    Text Solution

    |

  12. If the roots of the equation x^(3) + bx^(2) + cx + d = 0 are in arithm...

    Text Solution

    |

  13. In the expression of (x^(4/5) + x^(-1/5))^(n), the coefficient of the ...

    Text Solution

    |

  14. In the interval (0,2 pi), sum of all the roots of the equation sin(pi ...

    Text Solution

    |

  15. There are 3 oranges, 5 apples and 6 mangoes in a fruit basket. Number ...

    Text Solution

    |

  16. If int(x^(pq-p-1))/((x^p +1)^(q))dx= 2(1+x^(-p))^(1-q)/(lambda p(q-1))...

    Text Solution

    |

  17. The smallest possible natural number n, for which the equation x^(2) -...

    Text Solution

    |

  18. If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is dif...

    Text Solution

    |

  19. Let in DeltaABC coordinates of vertex A is (0,0). Equation of the inte...

    Text Solution

    |

  20. Let the maximum and minimum value of the expression 2 cos^(2) theta + ...

    Text Solution

    |