Home
Class 11
MATHS
If the equation of the pair of straight ...

If the equation of the pair of straight lines passing through the point (1,1) one making an angle `theta` with the positive dirction of the x-axis and the other making the same angle with the positive direction of the y-axis is `x^2-(a+2)xyy^2+a(x+y-1)=0, ane-2` then the value of `sin2theta` is

A

a-2

B

a+b

C

`2//(a+2)`

D

`2//a`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • 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 EXAMPLE|7 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 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

Find the equation of the straight lines passing through the point (1,2) and making an angle of 60^(@) with the line sqrt(3)x+y+2=0

Find the equation of the straight lines passing through the point (-10,4) and making an angle theta with the line x-2y=10 such that tan theta =2 .

Find the equation of the straight lines passing through the point (-3,2) and making an angle 45^(@) with the straight line 3x-y+4=0

A pair of straight lines is passing through the point (1, 1). One of the lines makes an angle theta with the positive direction of X-axis and the other makes the same angle with the positive direction of Y-axis. If the equation of the pair of straight lines is x^(2)-(a+2)xy+y^(2)+a(x+y-1)=0,a ne-2 , then the value of theta is

If a line makes an angle of pi//4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is

If a makes an angle of pi//4 with the positive direction of each of x-axis and y - axis, then the angle that the line makes with the positive direction of the z-axis is

The equation of the pair of lines passing through origin and making an angle of 30 degrees with the line 3x-y-1=0 is

AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines then...

    Text Solution

    |

  2. If x^2+alphay^2+2betay=a^2 represents a pair of perpendicular lines, t...

    Text Solution

    |

  3. If the equation of the pair of straight lines passing through the poin...

    Text Solution

    |

  4. The product of the perpendiculars from (f,-g) to the pair of st. line ...

    Text Solution

    |

  5. If the pair of line ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis...

    Text Solution

    |

  6. The lengh of x-intercpt made by pair of lines 2x^2+xy-6y^2-2x+17y-12=0...

    Text Solution

    |

  7. Length of y-intercept made by pair of lines 2x^(2)+lambda xy+3y^(2)+8x...

    Text Solution

    |

  8. The circumcentre of triangle formed by lines xy + 2x + 2y + 4 = 0 and ...

    Text Solution

    |

  9. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

    Text Solution

    |

  10. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

    Text Solution

    |

  11. If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a re...

    Text Solution

    |

  12. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

    Text Solution

    |

  13. The straight lines represented by (y-mx)^2=a^2(1+m^2) and (y-nx)^2 =a^...

    Text Solution

    |

  14. If the equation 2hxy+2gx+2fy+c=0 represents two straight lines and for...

    Text Solution

    |

  15. The distance between the parallel lines given by (x+7y)^(2) +4sqrt(2)(...

    Text Solution

    |

  16. The condition for the equation x^2(lambda+mu)xy+lambdamuy^2+x+muy=0 to...

    Text Solution

    |

  17. Value of 'K' so that equation 16x^2+24xy+ly^2+kx--12y-21=0. Represents...

    Text Solution

    |

  18. Show that the following equations represents a pair of parallel lines ...

    Text Solution

    |

  19. The angle between the lines joining the origin to the point of interse...

    Text Solution

    |

  20. A pair of perpendicular straight lines passes through the origin and a...

    Text Solution

    |