Home
Class 12
MATHS
Consider the family of lines 5x+3y-2 +...

Consider the family of lines ` 5x+3y-2 + lambda (3x-y-4)=0` and `x-y+1 + mu (2x - y - 2) = 0 ` Equation of straight line that belong to both families is `ax+by-7=0` then `a+b` is

A

1

B

3

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

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

Similar Questions

Explore conceptually related problems

Consider the family of lines 5x+3y-2+lambda(3x-y-4)=0 and x-y+1+mu(2x-y-2)=0. The equation of a straight line that belonges to both the families is

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

Consider the family of line (x+y-1)+lamda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a straight line that belongs to both the families is:

Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a line that belongs to both the family is (A) x-2y-8=0 (B) x-2y+8=0 (C) 2x+y-8=0 (D) 2x-y-8=0

Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a line that belongs to both the family is (A) x-2y-8=0 (B) x-2y+8=0 (C) 2x+y-8=0 (D) 2x-y-8=0

Consider a family of straight lines (x+y)+lambda(2x-y+1)=0. Find the equation of the straight line belonging to this family that is farthest from (1,-3) .

Consider a family of straight lines (x+y)+lambda(2x-y+1)=0. Find the equation of straight line belonging to this family that is farthest from (1;-3)

Consider the family of lines (x-y-6)+lambda(2x+y+3)=0 and (x+2y-4)+mu(3x-2y-4)=0 .If the lines of these 2 families are at right angle to each other then the locus of their point of intersection,is

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

    Text Solution

    |

  2. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

    Text Solution

    |

  3. The point (4,1) undergoes the following three successive transformatio...

    Text Solution

    |

  4. If the square ABCD, where A(0,0),B(2,0)C(2,2) and D(0,2) undergoes the...

    Text Solution

    |

  5. The line x+y=a meets the axes of x and y at A and B respectively. A ...

    Text Solution

    |

  6. If P(1,0), Q(-1,0) and R (2,0) are three given points, then the locus ...

    Text Solution

    |

  7. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

    Text Solution

    |

  8. The line x+y=1 meets X-axis at A and Y-axis at B,P is the mid-point of...

    Text Solution

    |

  9. The line x = c cuts the triangle with corners (0,0) , (1,1) and (9,1) ...

    Text Solution

    |

  10. If the straight lines x+2y=9,3x-5y=5 and ax+by=1 are concurrent , then...

    Text Solution

    |

  11. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

    Text Solution

    |

  12. Let m ,n are integers with 0<n<mdot A is the point (m ,n) on the Carte...

    Text Solution

    |

  13. A straight line l with negative slope passes through (8,2) and cuts th...

    Text Solution

    |

  14. Drawn from origin are two mutually perpendicular lines forming an iso...

    Text Solution

    |

  15. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  16. A ray of light coming fromthe point (1, 2) is reflected at a point A o...

    Text Solution

    |

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

    Text Solution

    |

  18. In Delta ABC equation of the right bisectors of the sides Ab and AC ar...

    Text Solution

    |

  19. Two particles start from point (2, -1), one moving two units along the...

    Text Solution

    |

  20. Let P be (5,3) and a point R on y = x and Q on the X - axis be such th...

    Text Solution

    |