Home
Class 11
MATHS
If the straight line ax+y+6=0 passes th...

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.

Text Solution

Verified by Experts

The correct Answer is:
a=2
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

If the straight line (x)/(a) + (y)/(b) = 1 is parallel to the line 4x + 3y = 6 and passes through the point of intersection of the lines 2x - y - 1 = 0 and 3x - 4y + 6 = 0 ,find the values of a and b .

Find the equation of the straight line which passes throught the point of intersection of the straight lines x+y+9=0 and 3x-2y+2=0 and is perpendicular to the line 4x+5y +1=0.

Find the equation of the staight line passing through the point of intersection of the straight lines 2x+3y+4=0 and 3x+y-1=0 and inclined to the positive direction of the x - axis at an angle 135^(@) .

Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .

Find the equation of the straight line which passes through the point of intersection of the two lines 2x-y+5=0and5x+3y-4=0 and is perpendicular to the line x-3y+21=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 .

A straight line passes through the point of Intersection of the lines x- 2y - 2 = 0 and 2x - by - 6= 0 and the origin, then the set of values of 'b' for which the acute angle between this line and y=0 is less than 45^@ is

If the straight line x/a+y/b=1is parallel to the line 4x+3y=6 and passes through the point of intersection of the lines 2x-y-1=0and 3x-4y+6=0,find the values of a and b.

The straight line (x)/(a)+(y)/(b)=1 passes throught the point of intersection of the straight lines 7x+9y=3 and 2y-x+7=0 and makes an angle 90^(@) with the straight line 5x-6y+15=0 , find the values of a and b.

If the parabola y^(2) = 4 ax passes through the point of intersection of the straight lines 3x + y + 5 = 0 and x + 3y - 1 = 0 , find the coordinates of its focus and the length of its latus rectum .

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

    |