Home
Class 12
MATHS
The equation of a line through the point...

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

Text Solution

Verified by Experts

The correct Answer is:
C
For the greatest distance, both points lie on a straight line.
Required equation of line is ` y = 2 = (1-2)/(3-1)(x-1)`
x+2y=5
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos

  • SOLVED PAPER 2019

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|150 Videos

  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

Similar Questions

Explore conceptually related problems

If m is the slope of the straight line through the point (1, 2) , whose distance from the point (13, 1) has the greatest value, then (2)/(3) m is equal to

An equation of a line through the point (3,1) whose distance from point (4,2) is greatest is-

Find the equation of a line passing through the point (1,-2) and whose slope is 4 .

The equation of the locus of the point whose distances from the point P and the line AB are equal, is

Tangents are drawn from P(3,0) to the circle x^(2)+y^(2)=1 touches the circle at points A and B.The equation of locus of the point whose distances from the point P and the line AB are equal is

The equation of a line passing through the points A (-1,1)and B (2, - 4) is

Find the equation of a line passing through the point (-1,3) and whose slope is (1)/(3) .

Find the equation of a line passing through the points (-1,1) and (2,-4)

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
  1. The equation of a line through the point (1, 2) whose distance from th...

    Text Solution

    |

  2. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  3. If a striaght line passes through the points (-1/2,1) and (1,2) then ...

    Text Solution

    |

  4. The equation of the line passing through (0,0) and intersection point ...

    Text Solution

    |

  5. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

    Text Solution

    |

  6. The equations y= +-sqrt3 x,y =1 are the sides of

    Text Solution

    |

  7. The slopes of the lines, which make an angle 45^(@) with the line 3x -...

    Text Solution

    |

  8. The image of the origin with reference to the line 4x+3y -25=0 is

    Text Solution

    |

  9. The length of perpendicular from the point ( a cos prop, a sin prop) ...

    Text Solution

    |

  10. L is a variable line such that the algebraic sum of the distances of ...

    Text Solution

    |

  11. The perpendicular bisector of the line segment joining P (1, 4) and ...

    Text Solution

    |

  12. A line passes through the point of intersection of the line 3x+y+1=0 a...

    Text Solution

    |

  13. The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...

    Text Solution

    |

  14. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  15. If the lines kx-2y-1=0 and 6x-4y-m=0 are identical (coindent) lines, t...

    Text Solution

    |

  16. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  17. The line passing through the point of intersection of x + y = 2,x-y = ...

    Text Solution

    |

  18. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  19. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

    Text Solution

    |

  20. If (sin theta, cos theta) and (3,2) lie on the same side of the line x...

    Text Solution

    |

  21. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |