Home
Class 12
MATHS
Equation of the straight line which belo...

Equation of the straight line which belongs to the system of straight lines `a(2x+y-3)+b(3x+2y-5)=0` and is farthest from the pint `(4,-3)` is

A

`4x +11y -15=0`

B

`3x-4y+1=0`

C

`7x+y-8=0`

D

None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Example|3 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|12 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Equation of straight line is 2x + 3y =5 . Slope of the straight line is :

Find the equation of the straight line which passes through the point of intersection of the straight lines x+y=8 and 3x-2y+1=0 and is parallel to the straight line joining the points (3, 4) and (5, 6).

Find the equation of two straight lines which are parallel to the straight line x+7y+2=0 , and at a unit distance from the point (2, -1).

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let l be the line belonging to the family of straight lines (a + 2b)x+ (a - 3b)y +a-8b = 0, a, b in R , which is farthest from the point (2, 2), then area enclosed by the line L and the coordinate axes is

Let l be the line belonging to the family of straight lines (a + 2b)x+ (a - 3b)y +a-8b = 0, a, b in R , which is farthest from the point (2, 2), then area enclosed by the line L and the coordinate axes is

Find the equation of the straight line which passes through the point of intersection of the straight lines 3x-4y+1=0 and 5x+y-1=0 and cuts off equal intercepts from the axes.

Find the equation of the straight line which passes through the point of intersection of the lines 3x+4y-1=0 and 5x+8y-3=0 and is perpendicular to the line 4x-2y+3=0 .

Find the equation of the straight line which passes through the point of intersection of lines 3x-4y-7=0 and 12x-5y-13=0 and is perpendicular to the line 2x-3y+5=0

Find the equation of the hyperbola, whose asymptotes are the straight lines (x + 2y + 3) = 0, (3x + 4y + 5) = 0 and which passes through the point (1-1).

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Equation of the straight line which belongs to the system of straight ...

    Text Solution

    |

  2. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  3. A straight line through the point A (3,4) is such that its intercept b...

    Text Solution

    |

  4. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  5. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

    Text Solution

    |

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

    Text Solution

    |

  7. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  8. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

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

    Text Solution

    |

  10. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  11. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

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

    Text Solution

    |

  13. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  14. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  15. Let a, b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  16. For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...

    Text Solution

    |

  17. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  18. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

    Text Solution

    |