Home
Class 11
MATHS
In a triangle A B C , the bisectors of ...

In a triangle `A B C` , the bisectors of angles `Ba n dC` lies along the lines `x=ya n dy=0.` If `A` is `(1,2)` , then the equation of line `B C` is (a) `2x+y=1` (b) `3x-y=5` (c) `x-2y=3` (d) `x+3y=1`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

Equation of the bisector of angle B of the triangle ABC is y = x . If A is (2,6) and B is (1, 1) ; equation of side BC is (A) 2x + y - 3 = 0 (B) x-5y+ 4 =0 (C) x- 6y + 5 = 0 (D) none of these

Given ABCD is a parallelogram with vertices as A(1,2),B(3,4) and C(2,3) . Then the equation of line AD is (A) x+y+1=0 (B) x-y+1=0 (C) -x+y+1=0 (D) x+y-1=0

A B C is a variable triangle such that A is (1, 2), and Ba n dC on the line y=x+lambda(lambda is a variable). Then the locus of the orthocentre of "triangle"A B C is x+y=0 (b) x-y=0 x^2+y^2=4 (d) x+y=3

In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0 are the equations of an altitude and an angle bisector, respectively, drawn from B , then the equation of B C is (a) a+y+1=0 (b) 5x+y+17=0 (c) 4x+9y+30=0 (d) x-5y-7=0

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these

Two straight lines u=0a n dv=0 pass through the origin and the angle between them is tan^(-1)(7/9) . If the ratio of the slope of v=0 and u=0 is 9/2 , then their equations are (a) y+3x=0 and 3y+2x=0 (b) 2y+3x=0 and 3y+x=0 (c) 2y=3x and 3y=x (d) y=3x and 3y=2x

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

ABC is a variable triangle such that A is (1, 2), and B and C on the line y=x+lambda(lambda is a variable). Then the locus of the orthocentre of DeltaA B C is (a) x+y=0 (b) x-y=0 x^2+y^2=4 (d) x+y=3

One of the bisector of the angle between the lines a(x-1)^2 + 2h(x-1)(y-2) + b (y-2)^2 = 0 is x + 2y - 5 = 0 . Then other bisector is (A) 2x-y=0 (B) 2x+y=0 (C) 2x+y-4=0 (D) x-2y+3=0

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  2. If the area of the rhombus enclosed by the lines l x+-m y+-n=0 is 2 s...

    Text Solution

    |

  3. In a triangle A B C , the bisectors of angles Ba n dC lies along the...

    Text Solution

    |

  4. If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family ...

    Text Solution

    |

  5. P(m , n) (where m , n are natural numbers) is any point in the interio...

    Text Solution

    |

  6. A diagonal of rhombus A B C D is member of both the families of lines ...

    Text Solution

    |

  7. A regular polygon has two of its consecutive diagonals as lines sqrt(3...

    Text Solution

    |

  8. Find the locus of the circumcenter of a triangle whose two sides are ...

    Text Solution

    |

  9. A line L1-=3y-2x-6=0 is rotated about its point of intersection with t...

    Text Solution

    |

  10. Straight lines y=m x+c1 and y=m x+c2 where m in R^+, meet the x-axis ...

    Text Solution

    |

  11. Show that the reflection of the line a x+b y+c=0 on the line x+y+1=0 i...

    Text Solution

    |

  12. Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...

    Text Solution

    |

  13. The number of possible straight lines passing through point(2,3) and f...

    Text Solution

    |

  14. In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0...

    Text Solution

    |

  15. The sides of a triangle are the straight line x+y=1, 7y=x, and sqrt(3)...

    Text Solution

    |

  16. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

    Text Solution

    |

  17. The coordinates of two consecutive vertices A and B of a regular hex...

    Text Solution

    |

  18. P is a point on the line y+2x=1, and Q and R are two points on the lin...

    Text Solution

    |

  19. Distance of origin from the line (1+sqrt3)y+(1-sqrt3)x=10 along the li...

    Text Solution

    |

  20. In triangle ABC, the coordinates of the vertex A are , (4,-1) and lin...

    Text Solution

    |