Home
Class 11
MATHS
Consider the equation of a pair of strai...

Consider the equation of a pair of straight lines as `lambda^(2)-10xy+12y^(2)+5x-16y-3=0`.
The value of `lambda` is

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos
  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos
  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Consider the equation of a pair of straight lines as lambdaxy-8x+9y-12=0

Consider the equation of a pair of straight lines as 2x^(2)-10xy+12y^(2)+5x-16y-3=0 . The angles between the lines is theta . Then the value of tan theta is

Consider the equation of a pair of straight lines as 2x^(2)-10xy+12y^(2)+5x-16y-3=0 . The point of intersection of lines is (alpha, beta) . Then the value of alpha beta is (a) 35 (b) 45 (c) 20 (d) 15

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The value of lambda is

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x-5y+2=0 The angle between the lines is theta then the value of cos 2 theta is

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is

Consider a pair of perpendicular straight lines ax^(2)+3xy-2y^(2)-5x+5y+c=0 . The value of a is

Consider a pair of perpendicular straight lines ax^(2)+3xy-2y^(2)-5x+5y+c=0 . The value of c is

If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0 , represents a pair of straight lines, then the value of lambda is

Distance between the pari of straight lines x^(2)+6xy+9y^(2)+4x+12y-5=0 is given by

OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Exercise
  1. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

    Text Solution

    |

  2. If the lines represented by x^(2)-2pxy-y^(2)=0 are rotated about the o...

    Text Solution

    |

  3. The difference of the tangents of the angles which the lines x^(2)(sec...

    Text Solution

    |

  4. If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are ...

    Text Solution

    |

  5. Consider the equation of a pair of straight lines as lambda^(2)-10xy+1...

    Text Solution

    |

  6. The equation y^(2)-x^(2)+2x-1=0, represents

    Text Solution

    |

  7. The angle between the straight lines x^(2)-y^(2)-2x-1=0, is

    Text Solution

    |

  8. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

    Text Solution

    |

  9. The diagonal of the rectangle formed by the lines x^2-7x +6= 0 and y^2...

    Text Solution

    |

  10. The angle between the pair of straight lines 2x^2+5xy+2y^2+3x+3y+1=0 i...

    Text Solution

    |

  11. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

    Text Solution

    |

  12. Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 , ...

    Text Solution

    |

  13. The joint equation of the straight lines x+y=1 and x-y=4, is

    Text Solution

    |

  14. If the slope of one of the lines given by ax^(2)-6xy+y^(2)=0 is square...

    Text Solution

    |

  15. The value of k such that 3x^(2)-11xy+10y^(2)-7x+13y+k=0 may repres...

    Text Solution

    |

  16. If x^(2)-kxy+y^(2)+2y+2=0 denotes a pair of straight lines then k =

    Text Solution

    |

  17. The equations of a line which is parallel to the line common to the p...

    Text Solution

    |

  18. If the slope of one of the lines given by 36x^(2)+2hxy+72y^(2)=0 is fo...

    Text Solution

    |

  19. The combined equation of the pair of the straight lines through the po...

    Text Solution

    |

  20. The equation x^(3)-6x^(2)y+11xy^(2)-6y^(3)=0 represents three straight...

    Text Solution

    |