Home
Class 11
MATHS
The equation to the striaght lines passi...

The equation to the striaght lines passing through the origin and making an angle `alpha` with straight line `y+x=0` are given by

A

`x^(2)+2xy sec 2 alpha +y^(2)=0`

B

`x^(2)-2 xy sec 2 alpha+y^(2)=0`

C

`x^(2)+2 xy cos 2 alpha+y^(2)=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA|Exercise Exercise|34 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA|Exercise Exercise|28 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight lines passing through the origin making an angle alpha with the straight line y=mx+c .

Find the equation of the straight liens passing through the origin making an angle 45^0 with straight line sqrt(3) x+y = 11

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

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

Find the equation f eth straight lines passing through the origins and making an angle of 45^0 with the straight line sqrt(3)x+y=11.

Q.find the equations of the straight lines passing through the origin and making equal angle with the co-ordinate axes.

Line passing through a point and making a given angle with a line.

The joint equation of pair of lines passing through the origin and making an angle of 45^(@) with the line 3x+y=0 is

Find the equation of the straight lines passing through (2, -1) and making an angle of 45^0 with the line 6x+5y=8 .

OBJECTIVE RD SHARMA-PAIR OF STRAIGHT LINES-Chapter Test
  1. If the lines given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the...

    Text Solution

    |

  2. The equation to the striaght lines passing through the origin and maki...

    Text Solution

    |

  3. The lines joining the origin to the point of intersection of x^2+y^2+2...

    Text Solution

    |

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

    Text Solution

    |

  5. The lines bisecting the angle between the bisectors of the angles betw...

    Text Solution

    |

  6. The pair of lines sqrt3x^(2)-4xy+sqrt3y^(2)=0 are rotated about the or...

    Text Solution

    |

  7. If two of the lines given by the equation ax^(3)+bx^(2)y+cxy^(2)+dy^...

    Text Solution

    |

  8. Two of the lines represented by the equation a y^4 + b x y^3 + c x^2 y...

    Text Solution

    |

  9. The pairs of straight lines ax^(2)-2hxy-ay^(2)=0 and hx^(2)-2axy-gy^(2...

    Text Solution

    |

  10. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

    Text Solution

    |

  11. if x^2/a+y^2/b+(2xy)/h=0 represent pair of straight lines and slope of...

    Text Solution

    |

  12. If the lines represented by the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=...

    Text Solution

    |

  13. The distance between the two lines represented by the sides of an equi...

    Text Solution

    |

  14. The equation of the image of the lines y=|x| in the line mirror x = 2 ...

    Text Solution

    |

  15. If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straigh...

    Text Solution

    |

  16. The equation of second degree x^2+2sqrt2x+2y^2+4x+4sqrt2y+1=0 represen...

    Text Solution

    |

  17. The value of lambda for which the equation x^2-y^2 - x - lambda y - ...

    Text Solution

    |

  18. Distance between the pair of lines represented by the equation x^(2)-6...

    Text Solution

    |

  19. The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a ...

    Text Solution

    |