Home
Class 11
MATHS
The straight line (x)/(a)+(y)/(b)=1 pass...

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.

Text Solution

Verified by Experts

The correct Answer is:
`a=(4)/(3),b=(8)/(5)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Short Answer Type Questions)|1 Videos
  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Long Answer Type Questions )|25 Videos
  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Very Short Answer Type Questions )|16 Videos
  • MATHEMATICAL INDUCTION

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

Similar Questions

Explore conceptually related problems

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.

Prove that, The line 5x + 4y = 0 passes through the point of intersection of straight lines x+2y-10 = 0, 2x + y =-5

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 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 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 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 .

The equation of straight line passing through the origin and making an angle alpha with the straight line x+y=0 is

Find the angle between the straight lines : y=3x+5and3y=x+7

The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

A variable straight line passes through the point of intersection of the staright lines x/a+y/b=1 and x/b+y/a=1 and intersects the axes at P and Q.Find the locus of mid-point of Pq.

CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2B (Short Answer Type Questions )
  1. Find the angle which a line perpendicular to the line x-y+1=0 makes wi...

    Text Solution

    |

  2. Find the coordinates of the foot of the perpendicular drawn from the p...

    Text Solution

    |

  3. Show that the equation of the straight line passing through (acos^(3)t...

    Text Solution

    |

  4. Find the equation of the straight line which bisects perpendicularly t...

    Text Solution

    |

  5. Find the equation of the perpendicular bisector of the straight line -...

    Text Solution

    |

  6. The straight line (x)/(a)+(y)/(b)=1 passes throught the point of inter...

    Text Solution

    |

  7. The straight line 8x-18y+31=0 bisects perpendicularly the straight li...

    Text Solution

    |

  8. Find the distance of the line 3x+y+4=0 from the poin (2,5) meansured ...

    Text Solution

    |

  9. Let A(2,-5) and B(6,-1) be two given points Find the length of ortho...

    Text Solution

    |

  10. The equations of the sides BC , CA and AB of the DeltaABC are 2x+y+...

    Text Solution

    |

  11. A(-2,7),B(7,15),C(-1,-5)andD(h,k) are the vertices of a parallelogram...

    Text Solution

    |

  12. Show that the points whose coordinates are (1,4) , (3,-2) and (-3,16)...

    Text Solution

    |

  13. A straight line AB intersects the y-axis at B and the perpendicular t...

    Text Solution

    |

  14. Find the equation of the straight line which pass through the point (3...

    Text Solution

    |

  15. Find the equations of straight lines which are perpendicular to the st...

    Text Solution

    |

  16. Find the equation of the straight line throught the origin and perpend...

    Text Solution

    |

  17. The pair of straight lines x+2y-1=0,x+2y-5=0 are.

    Text Solution

    |

  18. A pair of straight lines drawn through the origin form with the line ...

    Text Solution

    |

  19. A ray of light passing through the point (1,2) reflects on the axis of...

    Text Solution

    |

  20. A ray of light through (8,3) is reflected at (14,0) on the x - axis. F...

    Text Solution

    |