Home
Class 11
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`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

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

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

If the point (x,y) is equidistant from the points (2,-1) and (-3,4) , then show that , y=x+2 .

Find the equation of a plane which is parallel to the plane x-2y+2z=5 and whose distance from the point (1, 2, 3) is 1.

Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

What are the points on the y-axis whose distance from the line x/3 + y/4 = 1 is 4 units.

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot

Find the points on the x-axis, whose distances from the line x/3 + y/4 = 1 are 4 units.

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A rectangle A B C D has its side A B parallel to line y=x , and vertic...

    Text Solution

    |

  2. Two adjacent vertices of a square are (1,2) and (-2,6). Find the other...

    Text Solution

    |

  3. The equation of a line through the point (1, 2) whose distance from th...

    Text Solution

    |

  4. Find the equation of the line through the point A(2,3) and making an a...

    Text Solution

    |

  5. The line (x)/(a)+(y)/(b)=1 meets the x-axis at A, the y-axis at B, and...

    Text Solution

    |

  6. The line joining two points A(2,0) and B(3,1) is rotated about A in an...

    Text Solution

    |

  7. The area of the triangle formed by the lines y=a x ,x+y-a=0 and the y-...

    Text Solution

    |

  8. Find the equation of the lines through the point (3, 2) which make a...

    Text Solution

    |

  9. Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x...

    Text Solution

    |

  10. A straight line is drawn through the point P(2,3) and is inclined at a...

    Text Solution

    |

  11. A line of fixed length 2 units moves so that its ends are on the pos...

    Text Solution

    |

  12. The perpendicular from the origin to a line meets it at the point (2...

    Text Solution

    |

  13. The line x/3 +y/4=1 meets y-and x-axis at A and B, respectively. A squ...

    Text Solution

    |

  14. Find the direction in which a straight line must be drawn through the ...

    Text Solution

    |

  15. The centroid of an equilateral triangle is (0, 0). If two vertices of ...

    Text Solution

    |

  16. Two fixed point A and B are taken on the cordinate axes such that OA =...

    Text Solution

    |

  17. Find the equations of the lines, which cut-off intercepts on the axes ...

    Text Solution

    |

  18. Find the equation of the straight line which passes through the origin...

    Text Solution

    |

  19. The equation of a straight line passing through the point (2, 3) and ...

    Text Solution

    |

  20. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

    Text Solution

    |