Home
Class 11
MATHS
If the product of perpendiculars from (k...

If the product of perpendiculars from (k,k) to the pair of lines `x^2+4xy+3y^2=0 is 4sqrt5` then k is

A

`pm4`

B

`pm3`

C

`pm2`

D

`pm1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXAMPLE|7 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|10 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 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

The product of the perpendiculars from (-1, 2) to the pair of lines 2x^(2)-5xy+2y^(2)=0

If the product of the perpendicular distances from (1, k) to the pair of lines x^(2)-4xy+y^(2)=0 is (3)/(2) units, then k=

The product of perpendiculars from origin to the pair of lines 2x^(2)+5xy+3y^(2)+6x+7y+4=0 is

The product of the perpendicular distances from (1, -1) to the pair of lines x^(2)-4xy+y^(2)=0 , is

Find the product of the perpendicular drawn from the point(1 , 2) to the pair of lines x^(2)+4xy+y^(2)=0

The product of perpendiculars from origin to the pair of lines 12x^(2)+25xy+12y^(2)+10x+11y+2=0

If the length of the tangent from (2,5) to the circle x^(2) + y^(2) - 5x +4y + k = 0 is sqrt(37) then find k.

The equation of the pair of lines through the point (2,1) and perpendicular to the pair of lines 4xy + 2x + 6y + 3 = 0 is

AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)
  1. If the angle alpha is acut, then the acute angle between the pair of s...

    Text Solution

    |

  2. Equation of pair of lines through (0,0) and forming an equitateral tri...

    Text Solution

    |

  3. If the product of perpendiculars from (k,k) to the pair of lines x^2+4...

    Text Solution

    |

  4. The line y=3x bisects the angle between the lines ax^2+2axy+y^2=0 if a...

    Text Solution

    |

  5. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of a...

    Text Solution

    |

  6. If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)...

    Text Solution

    |

  7. The pair of lines a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by...

    Text Solution

    |

  8. The locus of the points equidistant from the pair of line x^2cos^2thet...

    Text Solution

    |

  9. The straight lines represented by the equation 135x^2+136xy+33y^2=0 ar...

    Text Solution

    |

  10. The combined equation of the lines l(1), l(2) is 2x^(2)+6xy+y^(2)=0 a...

    Text Solution

    |

  11. If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordi...

    Text Solution

    |

  12. The area of the triangle formed by two rays whose combined equation is...

    Text Solution

    |

  13. If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(...

    Text Solution

    |

  14. The area of the triangle formed by pair of line (ax+by)^2-3(bx-ay)^2=0...

    Text Solution

    |

  15. The lines represented by the equation x^(2)-y^(2)-x+3y-2=0 are

    Text Solution

    |

  16. If the equation 2x^2+5xy+3y^2+6x+7y+=0 represents a pair of lines, the...

    Text Solution

    |

  17. If the angle alpha is acut, then the acute angle between the pair of s...

    Text Solution

    |

  18. The value of lambda " such that " lambdax^2-10xy+12y^2+5x-16y-3=0 repr...

    Text Solution

    |

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

    Text Solution

    |

  20. The distance from a point (alpha,beta) to a pair of lines passing thro...

    Text Solution

    |