Home
Class 11
MATHS
The points P(h,k) and Q (k,h) lie on the...

The points P(h,k) and Q (k,h) lie on the respective lines `6x-y=1and2x-5y=5`, find the equation of the straight line Pq.

Text Solution

Verified by Experts

The correct Answer is:
`x+y=6`
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 through the point (3,2) and the point of intersection of the lines 3x+y-5=0 and x+5y+3=0 . Also find the length of the protion of the line intercepted between the coordinate axes.

Prove that the points (3,1), (5,-5) and (-1,13) are collinear . Find the equation of the straight line on which the points lie.

The equation of a straight line passing through the point (2, 3) and inclined at an angle of tan^(-1)(1/2) with the line y+2x=5 , so the equation of the line is/ are: (a) y=3 (b) x=2 3x+4y-18=0 (d) 4x+3y-17=0

If theta is the angle between the lines given by the equation 6x^2+5x y-4y^2+7x+13 y-3=0 , then find the equation of the line passing through the point of intersection of these lines and making an angle theta with the positive x-axis.

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 .

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.

A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0 at the points B, C and D respectively. If (15/(AB))^2+(10/(AC))^2=(6/(AD))^2 find the equation of the line.

Point R (h, k) divides a line segment between the axes in the ratio 1:2 Find equation of the line.

A moving straight line always passes through the point (h,k) . Prove that the locus of the middle point of the portion of the straight line intercepted between the axes of coordinates is , (h)/(x)+(k)/(y)=2 .

A rectangle PQRS has its side PQ paralle to the line y=mx and vertices P,Q and S are on the straight lines y=a, x=b and x=-b respectively. Find the locus of the vertex R.

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

    |