Home
Class 11
MATHS
Line a x+b y+p=0 makes angle pi/4 with x...

Line `a x+b y+p=0` makes angle `pi/4` with `xcosalpha+ysinalpha=p ,p in R^+` . If these lines and the line `xsinalpha-ycosalpha=0` are concurrent, then

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

Show that the four straight lines xcosalpha+ysinalpha=P , xsinalpha-ycosalpha=-p and xsinalpha-ycosalpha=P form a square.

If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find the value of p .

The lines px +qy+r=0, qx + ry + p =0,rx + py+q=0, are concurrant then

The angle made by the straight line x cos alpha + y sin alpha = p with the negative direction of x - axis is _

If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, then prove that p^2=4a^2cosalphasinalphadot

The angle made by the straight line xcosalpha+ysinalpha=p with the negative direction of x-axis is ____

The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for

The least positive value of t so that the lines x = t + alpha , y + 16 = 0 and y = alpha x are concurrent is _

Find the condition so that the lines xcosalpha+ysinalpha=p,xcosbeta+ysinbeta=qandy=xtantheta be concurrent.

Find the area of the triangle formed by the straight line xcosalpha+ysinalpha=p with the axes of coordinates.

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A light ray coming along the line 3x+4y=5 gets reflected from the line...

    Text Solution

    |

  2. Prove that the product of the lengths of the perpendiculars drawn from...

    Text Solution

    |

  3. Line a x+b y+p=0 makes angle pi/4 with xcosalpha+ysinalpha=p ,p in R^...

    Text Solution

    |

  4. Two sides of a square lie on the lines x+y=1 and x+y+2=0. What is its ...

    Text Solution

    |

  5. A line is drawn perpendicular to line y=5x , meeting the coordinate ax...

    Text Solution

    |

  6. Find the coordinates of a point on x+y+3=0, whose distance from x+2y+2...

    Text Solution

    |

  7. If x-2y+4=0a n d2x+y-5=0 are the sides of an isosceles triangle having...

    Text Solution

    |

  8. If p is the length of the perpendicular from the origin to the line (x...

    Text Solution

    |

  9. Find the value of a for which the lines 2x+y-1=0, a x+3y-3=0, 3x...

    Text Solution

    |

  10. The centre of a square is at the origin and one vertex is A(2,1). Find...

    Text Solution

    |

  11. A B C D is a square A-=(1,2),B-=(3,-4)dot If line C D passes through (...

    Text Solution

    |

  12. Find the distance between A(2,3) on the line of gradient 3/4 and the p...

    Text Solution

    |

  13. The equation of the straight line which passes through the point (-4,3...

    Text Solution

    |

  14. If one side of the square is 2x-y+6=0 and one of the vertices is (2,1)...

    Text Solution

    |

  15. The equation of the bisector of the acute angle between the lines 2x-y...

    Text Solution

    |

  16. Find equation of the line which is equidistant from parallel lines 9...

    Text Solution

    |

  17. If the equations y=m x+c and xcosalpha+ysinalpha=p represent the same ...

    Text Solution

    |

  18. Find the equation of the line passing through (2,3) which is parallel ...

    Text Solution

    |

  19. Consider three lines as follows. L1:5x-y+4=0 L2:3x-y+5=0 L3: x+y+8=0...

    Text Solution

    |

  20. Find the equation of a straight line cutting off an intercept-1 from t...

    Text Solution

    |