Home
Class 11
MATHS
Find the equation of a straight line whi...

Find the equation of a straight line which passes through the point of intersection of the straight lines `x+y-5=0` and `x-y+3=0` and perpendicular to a straight line intersecting x-axis at the point (-2,0) and the y-axis at the point (0,-3).

Text Solution

Verified by Experts

x+y-5=0
`frac{x-y+3=0}{2 x-2=0}`
x=1
1+y-5=0
y-4=0
y=4
Print of int. `(1,4)`
slope of `A B` is
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the equation to the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

What is the equation of the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10 ?

Find the equation of the straight line which passes through the point of intersection of lines 3x-4y-7=0 and 12x-5y-13=0 and is perpendicular to the line 2x-3y+5=0

Find the equation of a straight line passing through the point of intersection of the lines : 3x+y-9=0 and 4x+3y-7=0 and perpendicular to the line 5x-4y+1=0

Find the equation of the straight line which passes through the point (2,-3) and the point intersection of the lines x+y+4=0 and 3x-y-8=0

Find the equation of the straight line passing through the point of intersection of the lines 5x-6y-1=0 and 3x+2y+5=0 and perpendicular to the line 3x-5y+11=0

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Determine x so that the line passing through (3,4)a n d(x ,5) makes an...

    Text Solution

    |

  2. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

    Text Solution

    |

  3. Find the equation of a straight line which passes through the point of...

    Text Solution

    |

  4. Classify the following pairs of lines as coincident, parallel or int...

    Text Solution

    |

  5. Find the slope of the lines which make an angle of 45^0 with the line ...

    Text Solution

    |

  6. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

    Text Solution

    |

  7. If the point as (4,7) and (costheta,sintheta) , where 0ltthetaltpi , l...

    Text Solution

    |

  8. Find the centroid, incentre circum-centre and orthocentre of the trian...

    Text Solution

    |

  9. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

    Text Solution

    |

  10. Find the tangent of the angle between the lines whose intercepts on th...

    Text Solution

    |

  11. Find the value of k if the straight line 2x+3y+4+k(6x-y+12)=0 is perpe...

    Text Solution

    |

  12. Find the values of beta so that the point (0,beta) lies on or inside t...

    Text Solution

    |

  13. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

    Text Solution

    |

  14. Find the ratio in which the line 3x+4y+2=0 divides the distance betwe...

    Text Solution

    |

  15. Prove that the area of the parallelogram formed by the lines xcosalpha...

    Text Solution

    |

  16. Find the equation of the perpendicular bisector of the line segment ...

    Text Solution

    |

  17. The vertices of a triangle are A(10 ,4),B(-4,0)a n dC(-2, 8)dot Find ...

    Text Solution

    |

  18. Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its ...

    Text Solution

    |

  19. Prove that the line 5x-2y-1=0 is mid-parallel ot the lines 5x-2y-9=0a ...

    Text Solution

    |

  20. Find the equation of a line that has y - intercept 4 and is perpendic...

    Text Solution

    |