Home
Class 11
MATHS
Find the value of a for which the lines ...

Find the value of `a` for which the lines represented by `a x^2+5x y+2y^2=0` are mutually perpendicular.

A

2

B

`-2`

C

`(25)/(8)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

Find the value of k for which the lines kx - 5y + 4 = 0 and 5x – 2y + 5 = 0 are perpendicular to each other

Find the value of a so that the point (3,\ a) lies on the line represented by 2x-3y+5=0

Find the value of p if the lines, whose equations are 2x - y + 5 = 0 and px + 3y = 4 are perpendicular to each other.

Find the value of k if the line 2y=5x+k is a tangent to the parabola y^(2)=6x

Find the equation of the line through the intersection of 5x-3y=1 and 2x-3y -23= 0 and perpendicular to the line 5x - 3y -1 =0 .

Find the slope of the line which is perpendicular to : x/3 - 2y = 4

Find the slope of the line which is perpendicular to : x - y/2 + 3 = 0

Find the equation of the line through the intersection of 5x-3y=1 and 2x+3y-23=0 , and perpendicular to the line whose equation is: y=0

Find the equation of the line through the intersection of 5x-3y=1 and 2x+3y-23=0 , and perpendicular to the line whose equation is: x=0

Find the equaiton of the tangents to the hyperbola x^2 - 2y^2 = 18 which are perpendicular to the line x-y=0 .

OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Exercise
  1. If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between ...

    Text Solution

    |

  2. The point of intersection of the two lines given by 2x^2-5xy+2y^2+3x+3...

    Text Solution

    |

  3. Find the value of a for which the lines represented by a x^2+5x y+2y^2...

    Text Solution

    |

  4. The equation of the diagonal of the square formed by the pairs of line...

    Text Solution

    |

  5. Which of the following pair of straight lines intersect at right angle...

    Text Solution

    |

  6. The equation of the lines parallel to the line common to the pair of l...

    Text Solution

    |

  7. Equation x^(2) +k(1)y^(2) +2k(2)y = a^(2) represents a pair of perpend...

    Text Solution

    |

  8. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

    Text Solution

    |

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

    Text Solution

    |

  10. If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of pe...

    Text Solution

    |

  11. If theta is the angle between the lines given by the equation 6x^2+5x ...

    Text Solution

    |

  12. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |