Home
Class 11
MATHS
Find the equation of the straight line t...

Find the equation of the straight line through the point of intersection of the lines `2y-3x+16=0 and 3x+y=1` and through the centroid of the triagle whose vertices are (4,3), (2,-7) and (-9,-20).

Text Solution

Verified by Experts

The correct Answer is:
`x-y=7`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Long Answer Type Questions )|19 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Multiple Choice Type Questions)|12 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2A(Very Short Answer Type Questions)|14 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line passing throught the point of intersection of the lines y=3x-1 and x-2y+3=0 and parallel to 3x-2y+7 =0.

Find the equation of the straight line passing through the intersection of the lines x-2y=1 and x+3y=2 and parallel to 3x+4y=0.

Find the equation of the straight line passing through the point of intersection of the straight lines x+2y+3=0 and 3x+4y+7=0 and parallel to the straight line y=-(5)/(8)x .

Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

Find the equation of a line through the intersection of the lines 2x+3y-2=0 and x-2y+1=0 and having x-intercept equal to 3.

Find the equation of the smallest circle passing through the point of intersection of the line x+y=1 and the circle x^(2)+y^(2)=9 .

Find the equation of the plane passing through the intersection of the planes 2x+y+2z=9" and " 4x-5y-4z=1 and through the point (3,2,-1).

If the straight line ax+y+6=0 passes through the point of intersection of the lines x+y+4=0 and 2x+3y+10=0 , find a.

Find the equation of a straight fine passes through the middle ofthe straight lines 2x - 3y + 1 =0 and 2x- 7= 3y.

Find the straight line passing through the point of intersection of 2x+3y+5=0,5x-2y-16=0 , and through the point (-1,3)dot

CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2A (Short Answer Type Questions )
  1. A straight line moves in such a manner that the sum of the reciprocals...

    Text Solution

    |

  2. The numberical value of the area of the triangle formed by a moving li...

    Text Solution

    |

  3. The points P(h,k) and Q (k,h) lie on the respective lines 6x-y=1and2x-...

    Text Solution

    |

  4. The perimeter of the triangle formed by the straight line 4x+3y-k=0 w...

    Text Solution

    |

  5. If a+b+c=0 for all positions of the moving line ax+by+c=0 , show that...

    Text Solution

    |

  6. Show that the straight line (a+2b)x+(a-3b)y+b-a=0 always passes throu...

    Text Solution

    |

  7. Show that the equation of the straight line xcosalpha+ysinalpha=p can ...

    Text Solution

    |

  8. If p(1)andp(2) be the lenghts of the perpendiculars from the origin u...

    Text Solution

    |

  9. Find the equation of the straight line through the point (3,2) and the...

    Text Solution

    |

  10. If the straight line ax+y+6=0 passes through the point of intersecti...

    Text Solution

    |

  11. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  12. Find the equation of the straight line which makes intercepts on the a...

    Text Solution

    |

  13. A ray of light start from P(1,2) , reflect on x-axis at A and hence p...

    Text Solution

    |

  14. Find the equations to the straight lines which are at a distance of 2 ...

    Text Solution

    |

  15. Find the equation of the straight line through the point of intersecti...

    Text Solution

    |

  16. Examine whether the striaght lines x-y+4=0,2x+3y-6=0 and 8x+7y-26=0 a...

    Text Solution

    |

  17. For what value of a the three straigh lines 7x-11y+3=0,4x+3y-9=0and 13...

    Text Solution

    |

  18. If the straight lines a(1)x+b(1)y+c=0,a(2)x+b(2)y+c=0anda(3)x+b(3)y+c=...

    Text Solution

    |

  19. Show that the equation of the straight line throught (alpha,beta) and ...

    Text Solution

    |

  20. Prove that the locus of the mid - point of the portion of the line seg...

    Text Solution

    |