Home
Class 12
MATHS
If 2 theta is an acute angle, then the a...

If `2 theta` is an acute angle, then the acute angle between the two lines `x^(2)(cos theta-sin theta)+2xy.cos theta +y^(2)(cos theta +sin theta)=0` is

A

`2 theta`

B

`(theta)/2`

C

`(theta)/3`

D

`(theta)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos

  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

Similar Questions

Explore conceptually related problems

If the angle theta is acute, then the acute angle between x^(2)(cos theta-sin theta)+2xy cos theta+y^(2)(cos theta+sin theta)=0, is

If theta is the acute angle between the lines 6x^(2)+11xy+3y^(2)=0 ,then tan theta

(sin theta-cos theta)^(2)*(sin theta+cos theta)^(2)=

Mesure of angle between the two lines x^(2)(cos^(2)theta-1)-xy sin^(2) theta+y^(2)sin^(2) theta=1 is

(cos theta + sin theta) ^ (2) + (cos theta-sin theta) ^ (2) =

2(cos theta+cos2 theta)+(1+2cos theta)sin2 theta=2sin theta

The measure of the angle between the lines (sin^(2) theta -1)x^(2) -2xy cos^(2)theta + y^(2) cos^(2)theta = 0 is

cos theta+sin theta=cos2 theta+sin2 theta

The angle between the pair of lines y^(2)cos^(2)theta-xy cos^(2)theta+x^(2)(sin^(2)theta-1)=0 is

If theta is the acute angle between the pair of the lines x^(2)+3xy4y^(2)=0 then sin theta=

MARVEL PUBLICATION-PAIR OF STRAIGHT LINES-TEST YOUR GRASP
  1. If 2 theta is an acute angle, then the acute angle between the two lin...

    Text Solution

    |

  2. Joint equation of the X-axis and the bisector of the angle in the firs...

    Text Solution

    |

  3. If m is the slope of one fo the two lines jointly given by the equatio...

    Text Solution

    |

  4. If the two lines (3x-y)^(2)=k(x^(2)+y^(2)) are mutualy perpendiculart ...

    Text Solution

    |

  5. If kx+3y=0 is one of the two lines 5x^(2)+3xy-y^(2)=0 then k^(2)-9k=

    Text Solution

    |

  6. If one of the two lines 3x^(2)-kxy-y^(2)=0 bisects an angle between th...

    Text Solution

    |

  7. If the two lines kx^(2)+5xy+9y^(2)=0 are equally inclined with the cor...

    Text Solution

    |

  8. Combined equation of the two lines passing through the origin, forming...

    Text Solution

    |

  9. If the lines 3x^(2)-kxy-3y^(2)=0 and x+2y=8 form and isosceles triangl...

    Text Solution

    |

  10. Length of each leg of an isosceles right angled triangle, formed by th...

    Text Solution

    |

  11. If the equation kxy+10x+6y+4=0 represents a pair of lines then : k=

    Text Solution

    |

  12. If the angle between the lines ax^(2)+xy+by^(2)=0 is 45^(@), then

    Text Solution

    |

  13. If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines t...

    Text Solution

    |

  14. If 3h^(2)=4ab, then the ratio of the slopes of the lines ax^(2)+2hxy+b...

    Text Solution

    |

  15. Lines represented by the equation 5x^(2)-2xy+2y^(2)=0 are

    Text Solution

    |

  16. If one of the lines kx^(2)+xy-y^(2)=0 bisects an angle between the co-...

    Text Solution

    |

  17. Measure of angle between the lines sqrt(2)(x^(2)+y^(2))=4xy is

    Text Solution

    |

  18. If the angle between the lines 3x^(2)-4y^(2)=0 is tan^(-1)k, then k=

    Text Solution

    |

  19. Joint equation of two lines through the origin and parallel to the pai...

    Text Solution

    |

  20. If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

    Text Solution

    |