Home
Class 11
MATHS
The sides of a triangle ABC lie on the l...

The sides of a triangle ABC lie on the lines `3x + 4y = 0, 4x +3y =0` and `x =3` . Let `(h, k)` be the centre of the circle inscribed in `triangleABC`. The value of `(h+ k)` equals

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos
CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A line which makes an acute angle theta with the positive direction of...

    Text Solution

    |

  2. Find the values of non-negative real numbers h(1), h(2), h(3), k(1), k...

    Text Solution

    |

  3. The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 a...

    Text Solution

    |

  4. If a and b are two arbitray constants, then prove that the straight li...

    Text Solution

    |

  5. Find the incentre of a triangle formed by the lines x "cos" (pi)/(9) +...

    Text Solution

    |

  6. If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the s...

    Text Solution

    |

  7. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are (a)con...

    Text Solution

    |

  8. In triangle ABC, the equation of the right bisectors of the sides AB a...

    Text Solution

    |

  9. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

    Text Solution

    |

  10. Show that the straight lines given by x(a+2b)+y(a+3b)= a + b for diffe...

    Text Solution

    |

  11. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . ...

    Text Solution

    |

  12. Let ax+by+c=0 be a variable straight line, where a, b and c are 1^(st)...

    Text Solution

    |

  13. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

    Text Solution

    |

  14. Prove that all the having sum of the intercepts on the axes equal to h...

    Text Solution

    |

  15. Three straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y ...

    Text Solution

    |

  16. Find the straight line passing through the point of intersection of li...

    Text Solution

    |

  17. Three lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 form the three sides of tw...

    Text Solution

    |

  18. Consider a family of straight lines (x+y)+lambda(2x-y+1)=0. Find the...

    Text Solution

    |

  19. Find alpha if (alpha, alpha^2) lies inside the triangle having sides a...

    Text Solution

    |

  20. If 5a+4b+20c=t,then the value of t for which the line ax+by+c-1=0 alwa...

    Text Solution

    |