Home
Class 12
MATHS
If the straight lines ax+by+c=0 and xcos...

If the straight lines `ax+by+c=0` and `xcosalpha+ysinalpha=c` encloses an angle of `pi/4` between them and meet the straight line `xsinalpha-ycosalpha=0` in the point then

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise Exercise 1|3 Videos

  • STRAIGHT LINE

    FIITJEE|Exercise Exercise 2|4 Videos

  • STRAIGHT LINE

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|12 Videos

  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

Similar Questions

Explore conceptually related problems

If the straight lines ax+by+c=0 and x cos alpha+y sin alpha=c encloses an angle of (pi)/(4) between them and meet the straight line x sin alpha-y cos alpha=0 in the point then

If the straight lines ax+by+c=0 and x cos alpha +y sin alpha = c enclose an angle pi//4 between them and meet the straight line x sin alpha - y cos alpha = 0 in the same point , then

The line ax + by + c = 0 intersects the line x cosalpha + y sinalpha=c at the point P and angle between them is pi/4 . If the line x sinalpha - y cosalpha = 0 also passes through the point P, then:

Angle between pair of straight line

The angle between the pair of straight lines x^(2)+4y^(2)-7xy=0 is

FIITJEE-STRAIGHT LINE -SOLVED PROBLEMS (OBJECTIVE)
  1. A line through the origin divides parallelogram with vertices (10,45) ...

    Text Solution

    |

  2. ABC is an isosceles right anlged triangle with AB = BC = 1 . If P is a...

    Text Solution

    |

  3. If the straight lines ax+by+c=0 and xcosalpha+ysinalpha=c encloses an ...

    Text Solution

    |

  4. Prove that the straight lines joining the origin to the points of inte...

    Text Solution

    |

  5. The value of k for which the equation 2x^2+5y^2-2ky+4x+6y=0 represent ...

    Text Solution

    |

  6. Triangle ABC lies in the Cartesian plane and has an area of 70 sq. uni...

    Text Solution

    |

  7. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

    Text Solution

    |

  8. The equation of smaller circle of radius sqrt3-1 in l^(st) quadrant ha...

    Text Solution

    |

  9. The coordinates of the points (s) on the line x + y = 5 , which is/ ar...

    Text Solution

    |

  10. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

    Text Solution

    |

  11. ABCD is a rectangle with A(-1,2) , B (3,7) and AB : BC = 4 : 3 . If d ...

    Text Solution

    |

  12. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

    Text Solution

    |

  13. Two consecutive sides of a parallelogram are 4x+5y=0a d n7x+2y=0. If t...

    Text Solution

    |

  14. Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0...

    Text Solution

    |

  15. Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0...

    Text Solution

    |

  16. The line 6x + 8y - 48 intersects the co - ordinate axis at A and B res...

    Text Solution

    |

  17. The line 6x + 8y - 48 intersects the co - ordinate axis at A and B res...

    Text Solution

    |

  18. Statement -1 : The lines ai x + bi y + c i=0,i={1,2,3} are concurrent ...

    Text Solution

    |

  19. Statement -1 : The minimum value of (x2-x1)^2+(sqrt(1+x1^2)-sqrt(4-x2^...

    Text Solution

    |

  20. Given four parallel lines L1,L2,L3 and L4 Let the distacnes between th...

    Text Solution

    |