Home
Class 11
MATHS
Show that the straight lines given by (2...

Show that the straight lines given by `(2+k)x+(1+k)y=5+7k` for different values of `k` pass through a fixed point. Also, find that point.

A

Lines are parallel

B

Lines pass through the point `(-2,9)`

C

Line pass through thr point `(2,-9)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|99 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Show that the straight lines given by x(a+2b)+y(a+3b)=a for different values of a and b pass through a fixed point.

Show that the straight line x(a+2b)+y(a+3b)=(a+b) for different values of a and b passes through the fixed point.Find that point

Show that the straight lines x(a+2b)+y(a+3b)=a+b of a and b pass through a fixed point.Find the coordinates of the fixed point.

Show that the equation (3-2k) x-(2+k)y=5-k, where k is real represents a family of lines all passing through a fixed point. Find the co-ordinates of this fixed point.

Prove that the line x(a+2b) + y (a-3b)=a-b passes through a fixed point for different values of a and b . Also find the fixed point.

If the line 2x - ky + 6 = 0 passes through the point (2,-8) , then find the value of k.

If the line 2x-3y=k passing through the origin, then the value of k is

If the line 2x-3y=k passing through the origin, then the value of k is

Find the value of k, if the points A(7,-2),B(5,1) and C(3,2k) are collinear.

If the line segment joining the points (3, 4) and (7, 7) passes through the point (k, 0), then find the value of k.

TARGET PUBLICATION-STRAIGHT LINE -CRITICAL THINKING
  1. If vertices of a parallelogram are respectively (0,0), (1,0) ,(2,2) an...

    Text Solution

    |

  2. The point of intersection of the lines x/ay/b =1 and x/b +y/a =1 lines...

    Text Solution

    |

  3. Show that the straight lines given by (2+k)x+(1+k)y=5+7k for different...

    Text Solution

    |

  4. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

    Text Solution

    |

  5. The lines (p-q)x+(q-r)y+(r-p)=0(q-r)x+(r-p)y+(p-q)=0,(x-p)x+(p-q)y+(q-...

    Text Solution

    |

  6. The value of lambda for which the lines 3x+4y=5,5x+4y=4\ a n d\ lambda...

    Text Solution

    |

  7. If the lines ax+y+1=0, x+by+1=0 and x+y+c=0, (a,b,c being distinct an...

    Text Solution

    |

  8. The straight line passing through the point of intersection of the str...

    Text Solution

    |

  9. Which of the following lines is concurrent with the lines 3x+ 4y+6=0 a...

    Text Solution

    |

  10. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  11. If a+b+c=0 and pne 0 then lines ax + (b+ c)y =p, bx+ (c+a)y=p and cx+ ...

    Text Solution

    |

  12. The equation of a line passing through the point if intersection of th...

    Text Solution

    |

  13. Find the equation of the straight line passing through the intersectio...

    Text Solution

    |

  14. Find the equation of the straight line passing through the point of ...

    Text Solution

    |

  15. The equation of a line passing through the point of intersection of li...

    Text Solution

    |

  16. Find the equation of a line passing through point of intersection of l...

    Text Solution

    |

  17. The equation of a line passing through the point of intersection of li...

    Text Solution

    |

  18. The equation of straight line passing through the point of intersectio...

    Text Solution

    |

  19. Three sides of a triangle are represented by the equation x+y -6 =0, 2...

    Text Solution

    |

  20. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

    Text Solution

    |