Home
Class 11
MATHS
In a triangle A B C , if A is (2,-1),a...

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`

Text Solution

AI Generated Solution

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

The equations of two equal sides A Ba n dA C of an isosceles triangle A B C are x+y=5 and 7x-y=3 , respectively. Then the equation of side B C if a r( A B C)=5u n i t^2 is x-3y+1=0 (b) x-3y-21=0 3x+y+2=0 (d) 3x+y-12=0

The equation to the normal to the curve y=sinx at (0,\ 0) is (a) x=0 (b) y=0 (c) x+y=0 (d) x-y=0

In triangle A B C , the equation of the right bisectors of the sides A B and A C are x+y=0 and y-x=0 , respectively. If A-=(5,7) , then find the equation of side B Cdot

Let (2,3) be the focus of a parabola and x + y = 0 and x-y= 0 be its two tangents. Then equation of its directrix will be (a) 2x - 3y = 0 (b) 3x +4y = 0 (c) x +y = 5 (d) 12x -5y +1 = 0

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

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

x=2, y=−1 is a solution of the linear equation (a) x+2y=0 (b) x+2y=4 (c) 2x+y=0 (d) 2x+y=5

If (-4,0) and (1,-1) are two vertices of a triangle of area 4s qdotu n i t s , then its third vertex lies on (a) y=x (b) 5x+y+12=0 (c) x+5y-4=0 (d) x+5y+12=0

The normal at the point (1,1) on the curve 2y+x^2=3 is (A) x + y = 0 (B) x y = 0 (C) x + y +1 = 0 (D) x y = 0

The normal at the point (1,1) on the curve 2y+x^2=3 is (A) x - y = 0 (B) x y = 0 (C) x + y +1 = 0 (D) x y = 0

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...

    Text Solution

    |

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

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If the equation of any two diagonals of a regular pentagon belongs t...

    Text Solution

    |

  11. If it is possible to draw a line which belongs to all the given family...

    Text Solution

    |

  12. The locus of the image of the point (2,3) in the line (x-2y+3)+lambda...

    Text Solution

    |

  13. A B C is a variable triangle such that A is (1,2) and B and C lie ...

    Text Solution

    |

  14. If P(1+t/(sqrt(2)),2+t/sqrt(2)) is any point on a line, then the rang...

    Text Solution

    |

  15. If the intercept made on the line y=mx by lines y=2 and y=6 is less th...

    Text Solution

    |

  16. If the extremities of the base of an isosceles triangle are the points...

    Text Solution

    |

  17. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  18. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  19. If lines x+2y-1=0,a x+y+3=0, and b x-y+2=0 are concurrent, and S is...

    Text Solution

    |

  20. L1a n dL2 are two lines. If the reflection of L1onL2 and the reflectio...

    Text Solution

    |