Home
Class 11
MATHS
Assertion (A) : The slopes of one line r...

Assertion (A) : The slopes of one line represented by `2x^(2)–5xy+2y^(2) = 0` is 4 times the slope of the second line.
Reason (R): If the slopes of lines represented by `ax^(2)+2hxy+by^(2)=0` are in m:n then `((m+n)^(2))/(mn)=(4h^(2))/(ab)`

A

A is true, R is true and R `rArr A`

B

A is true, R is true and `R cancel rArr A`

C

A is true, R is false

D

A is false, R is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 Videos

  • 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 EXERCISE -I|50 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

If the slopes of the lines represented by ax^(2)+2hxy+by^(2)=0 are in the ratio m:n then ((m+n)^(2))/(mn)=

If the slopes of the lines represented by 6x^(2)+2hxy+y^(2)=0 are in the ratio 1:2 then h=

If the slope of one line of the pair 8x^(2)+2hxy+y^(2)=0 is twice the slope of the second line, then h=

Find the value of h if the slopes of the lines represented by 6x^(2)+2hxy+y^(2)=0 are in the ratio 1:2.

If the slope of one of the line represented by 2x^(2)+3xy+Ky^(2)=0 is 2 then angle between pair of lines is

If the slope of one of the lines represented by ax^(2)-6xy+y^(2)=0 is the square of the other, then the value of a is

y=mx is one of the lines represented by ax^2+2hxy+by^2=0 if a+2hm+bm^2 =

If the slope of one of the lines represented by ax^(2) - 6xy + y^(2) = 0 is the square of the other, then the value of a is

AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. If the slopes of the lines represented by 6x^(2)+2hxy+y^(2)=0 are in t...

    Text Solution

    |

  2. If the slope of one line is double the slope of another line of the pa...

    Text Solution

    |

  3. Assertion (A) : The slopes of one line represented by 2x^(2)–5xy+2y^(2...

    Text Solution

    |

  4. Statement-I : If two of the lines represented by ax^(3) + bx^(2)y + cx...

    Text Solution

    |

  5. If the slope of one of the lines represented by ax^(2) + 2hxy + by^(2)...

    Text Solution

    |

  6. If the slope of one of the lines represented by ax^(2) - 6xy + y^(2) =...

    Text Solution

    |

  7. If the pairs of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have...

    Text Solution

    |

  8. Equation of line common to pair of lines (p^(2)-q^(2))x^(2)+(q^(2)-r^(...

    Text Solution

    |

  9. If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my ...

    Text Solution

    |

  10. If the line lx+my+n=0 meets the pair of lines 3x^(2)+7xy-5y^(2)=0 at A...

    Text Solution

    |

  11. The equation of the pair of angular bisectors of the pair of lines xy ...

    Text Solution

    |

  12. the line y=mx bisects the angle between the pair of ax^(2)-2hxy+by^(2)...

    Text Solution

    |

  13. If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...

    Text Solution

    |

  14. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

    Text Solution

    |

  15. If 2x + 3y = 7 makes equal angles with pair of lines 9x^(2)+12xy+ky^(2...

    Text Solution

    |

  16. If the lines ax^(2) + 2hxy + by^(2)= 0 are equally inclined with the c...

    Text Solution

    |

  17. If the coordinate axes are the bisectors of the angles between the pai...

    Text Solution

    |

  18. If two lines in 2x^(2)+2(k-1)xy-3y^(2)=0 are equally inclined to axes ...

    Text Solution

    |

  19. If one the lines in the pair of stright lines given by 4x^2+6xy+ky^2=0...

    Text Solution

    |

  20. If one of lines in ax^(2)+2hxy+by^(2)=0 bisects the angle between the...

    Text Solution

    |