Home
Class 11
MATHS
The equations of the lines through the p...

The equations of the lines through the point (1,2) whose distance from the point (3,1) has the highest possible value is

A

y=x

B

y=2x

C

y=-2x

D

y=-x

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

The equation of a line through the point (1, 2) whose distance from the point (3,1) has the greatest value is (a) y=2x (b) y=x+1 (c) x+2y=5 (d) y=3x-1

Find the equation to the locus of the point whose distance from the point ( - 2 , -3, 2) is 6 unit .

Write the equation of the line through the points (1, - 1) " and " (3, 5) .

The equation of the curves through the point (1, 0) and whose slope is (y-1)/(x^2+x) is

The equation of a line passing through the points (1,2,3) and (4,0,6) is -

Find the equation of the line Passing through the point (-4, 3) with slope 1/2 .

Find the equations of the two straight lines through the point (0,2) , which are at a distance of 2 unit from the point (4,4).

The number of lines which pass through the point (2 , -3) and are the distance 8 from the point (-1 ,2) is

The number of lines which pass through the point (2 , -3) and are at distance 8 from the point (-1 , 2) is _

Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)dot

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. Let 2x-3y=0 be a given line and P(sintheta, 0) and Q(0, costheta) be t...

    Text Solution

    |

  2. The equations of the lines through (-1,-1) and making angle 45^@ with ...

    Text Solution

    |

  3. The equations of the lines through the point (1,2) whose distance from...

    Text Solution

    |

  4. The line segment joining the points (1,2) and (-2, 1) is divided by th...

    Text Solution

    |

  5. If a ray travelling the line x=1 gets reflected the line x+y=1, then t...

    Text Solution

    |

  6. The value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4...

    Text Solution

    |

  7. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  8. The equation sqrt({(x-2)^2+y^2})+sqrt({(x+2)^2+y^2})=4 represents

    Text Solution

    |

  9. If the lines represented by x^2-2pxy-y^2=0 are rotated about the origi...

    Text Solution

    |

  10. Product of the perpendiculars from (alpha, beta) to the lines ax^2+2hx...

    Text Solution

    |

  11. The gradient of one of the lines ax^2+2hxy+by^2=0 is twice that of the...

    Text Solution

    |

  12. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  13. If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between...

    Text Solution

    |

  14. If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots, then...

    Text Solution

    |

  15. The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for

    Text Solution

    |

  16. Given the family of lines, a(3x+4y+6) +b(x+y+2)=0. The line of the fam...

    Text Solution

    |

  17. If 3a+2b+6c=0, the family of straight lines ax+by+c=0 passes through a...

    Text Solution

    |

  18. Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+m...

    Text Solution

    |

  19. P(3,1), Q(6,5) and R(x,y) are three points such that the angle PRQ is ...

    Text Solution

    |

  20. The area of the triangle having vertices (-2,1), (2,1) and (lim(mtoinf...

    Text Solution

    |