Home
Class 11
MATHS
The equation Kx^(2)+4xy+5y^(2)=0 represe...

The equation `Kx^(2)+4xy+5y^(2)=0` represents two lines inclined at an angle `pi` if K =

A

`(5)/(4)`

B

`(4)/(5)`

C

`(-4)/(5)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)|55 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|105 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

Does the equation x^(2)+xy+y^(2)=0 represent a pair of lines?

The equations x-y=4 and x^2+4xy+y^2=0 represent the sides of

The equation ax^(2)+3xy-2y^(2)-5x+5y+c=0 represents two lines perpendecular to each other. Find 'a' and c.

The equation ax^(2) + 3xy - 2y^(2) - 5x +5y+c= 0 represents two lines perpendecular to each other. Find 'a' and 'c'

Statement-I : If the equation 4x^(2)+mxy-3y^(2)=0 represents a pair of real and distinct lines then m in R . Statement-II : If the difference of the slopes of the lines kx^(2)-12xy + y^(2) = 0 is 2 then k is 30 Which of the above statement is correct :

Find k, if the equation 2x^(2) + kxy - 6y^(2) + 3x + y + 1 = 0 represents a pair of lines. Find the point of intersection of the lines and angle between the lines for this value of k.

Assertion (A) The lines 2x^(2)+5xy+2y^(2)=0andx-2y+1=0 form a right angled triangle. Reason R The equation ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular lines if a+b=0 The choose the correct answer

Prove that the equation 3x^(2)+7xy+2y^(2)+5x+5y+2=0 represents a pair of straight lines. Find the point of intersection. Also find the angle between them.

The equation a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0 represents two pairs of lines at right angles. The two pairs will coincide if

AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. The equation 3x^(2)+10xy-8y^(2) =0 represents

    Text Solution

    |

  2. If ax^(2)+12xy+9y^(2)=0 epresents two coincident lines then a=

    Text Solution

    |

  3. The equation Kx^(2)+4xy+5y^(2)=0 represents two lines inclined at an a...

    Text Solution

    |

  4. The equation 11x^(2)-2xy+4y^(2)=0 represents

    Text Solution

    |

  5. The sum and product of the slopes of the lines 2x^(2)-xy-y^(2)=0 are

    Text Solution

    |

  6. The two lines 4x^(2)-24xy+11y^(2)=0 makes with x-axis angles such tha...

    Text Solution

    |

  7. The difference of the slopes of the lines 3x^(2)-8xy-3y^(2)=0 is

    Text Solution

    |

  8. The combined equation to a pair of straight lines passing through the ...

    Text Solution

    |

  9. If the slope of one line of the pair 8x^(2)+2hxy+y^(2)=0 is twice the ...

    Text Solution

    |

  10. If the slope of one line of the pair of ax^(2)+2hxy+by^(2)=0 is double...

    Text Solution

    |

  11. The equation of the pair of lines passing through (1,-1) and parallel ...

    Text Solution

    |

  12. The equation to the pair of st lines passing through (1, 2) and perpen...

    Text Solution

    |

  13. The equation to the pair of lines passing through the origin and perpe...

    Text Solution

    |

  14. The product of the perpendiculars from (-1, 2) to the pair of lines 2x...

    Text Solution

    |

  15. Angle between the lines x^(2)+2xysecalpha+y^(2)=0 is

    Text Solution

    |

  16. If the pair of lines given by (x^(2)+y^(2))cos^(2) theta=(x cos theta+...

    Text Solution

    |

  17. If the acute angle between the pair of lines x^(2)+4sqrt2xy+lamday^(...

    Text Solution

    |

  18. If the pair of lines given by lamda(lamda-3)x^(2)+16xy+(lamda+1)y^(2)=...

    Text Solution

    |

  19. The angle between the straight lines represented by (x^(2)+y^(2))sin^(...

    Text Solution

    |

  20. The equation of the bisector of the acute angle between the lines 4x-3...

    Text Solution

    |