Home
Class 11
MATHS
The equation of the line whilch is 10 un...

The equation of the line whilch is 10 units from the origin and the normal ray from the origin to it makes an angle `(pi)/4` with positive direction of x-axis measured in the clock direction is

A

`x+y=10`

B

`x+y=20`

C

`x-y=10sqrt(2)`

D

`x+y=10sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|92 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|14 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

The equation of the line which is at 10 units from the origin and the normal from the origin to it makes as angle (pi)/(4) with the X-axis in the negative direction is

Equation of straight line which is 10 units from origin and normal ray from origin to the line makes an angle of 135^(@) with positive direction of x-axis in anti clock direction is

Find the equation of the straight line whose distance from the origin is 4, if the normal ray form the origin to the straight line makes an angle of 135^(@) with the positive direction of the X-axis.

Find the angle made by the straight line y = -sqrt(3)x + 3 with the positive direction of the X-axis measured in the counter-clock wise direction.

Find the angle made by the straight line y=-sqrt(3)x+3 with the positive direction of the X-axis measured in the counter -clock wise direction.

Find the equation of the straight line which makes and angle 60^(@) with the positive direction of x-axis and the y-intercept cut of by it is 3.

Find the equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of x - axis is 15^(@) .

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

AAKASH SERIES-STRAIGHT LINES-EXERCISE I
  1. If a straight line perpendicular to 2x-3y+7=0 forms a triangle with th...

    Text Solution

    |

  2. The equation of a straight line, perpendicular to 3x-4y=6 and forming ...

    Text Solution

    |

  3. The equation of the line whilch is 10 units from the origin and the no...

    Text Solution

    |

  4. A straight line makes an angle (pi)/3 with positive direction of x-axi...

    Text Solution

    |

  5. Normal form of the line x+y+sqrt(2)=0 is

    Text Solution

    |

  6. Symmetric form of the line through (-2,0) having slope (-1)/(sqrt(3) i...

    Text Solution

    |

  7. The perpendicular distance from origin to the line x/(p sec alpha)+y/(...

    Text Solution

    |

  8. If p is the perpendicular distance from the origin to the straight lin...

    Text Solution

    |

  9. The distance between the parallel lines 3x+4y+3=0,6x+8y+11=0 is

    Text Solution

    |

  10. If 2x+3y+4=0, lamda x +ky+2=0 are identical lines then 3lamda-2k=

    Text Solution

    |

  11. The line segment joining the points (1, 2) and (k, 1) is divided by t...

    Text Solution

    |

  12. If the line 3x+4y=8 is denoted by L, then the points (3, -5), (-5, 2)

    Text Solution

    |

  13. If the points (1, 2) and (3, 4) were to be on the same side of the li...

    Text Solution

    |

  14. If A(2, -1) and B(6, 5) are two points the ratio in which the foot of ...

    Text Solution

    |

  15. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  16. The lines x-y-2=0, x+y-4=0 and x+3y=6 meet in the common point

    Text Solution

    |

  17. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

    Text Solution

    |

  18. If the lines x+2ay+a=0, x+3by+b=0, x+4cy+c=0 are concurrent, then a, b...

    Text Solution

    |

  19. The straight line 2x+3y-1=0,3x+4y-6=0 and ax+by+1=0 are concurrent if ...

    Text Solution

    |

  20. The condition that the three different lines ax+by+c=0, bx+cy+a=0, cx+...

    Text Solution

    |