Home
Class 11
MATHS
The equation of the image of the pair of...

The equation of the image of the pair of rays `y=|x|` in the line mirror x = 1, is

A

`|y|=x+2`

B

`|y|+2=x`

C

`y=|x-2|`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

Clearly, image of OA is PD and that of OB is PC

In order to find the equation representing images, let us translate the origin at P(2,0). The required equation is `y=|x-2|`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SOLVED MCQs|1 Videos
  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos
  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos
  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the image of the circle x^2+y^2+8x-16y+64=0 in the line mirror x=0.

The equation of the image of the circle (x-3)^(2)+(y-2)=1 in the mirror x+y=19, is

The equation of the image of line y=x wire respect to the line mirror 2x-y=1 is

The equation of the image of the circle x^2+y^2+16x-24y+183=0 by the line mirror 4x+7y+13=0 is :

The equation of image of pair of lines y=|x-1| with respect to y-axis is :

Find the equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the line mirror x+y-1=0

Find the image of the point (2,1) with respect to the line mirror x+y-5=0

The equation of the diagonal of the square formed by the pairs of lines xy +4x - 3y - 12 = 0 and xy - 3x +4 y - 12 = 0 is

Find the image of the point (1, -2) with respect to the line mirror 2x-y+1=0

OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Section I - Solved Mcqs
  1. Find the angle between the straight lines joining the origin to the ...

    Text Solution

    |

  2. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  3. If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on Y-axis , ...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

    Text Solution

    |

  6. The equation of the image of the pair of rays y=|x| in the line mirror...

    Text Solution

    |

  7. Two lines represented by the equation.x^2-y^2-2x+1=0 are rotated about...

    Text Solution

    |

  8. The value of lambda for which the lines joining the point of intersect...

    Text Solution

    |

  9. If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide w...

    Text Solution

    |

  10. If the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have ex...

    Text Solution

    |

  11. If one of the lines given by 6x^(2) - xy + 4cy^(2) =0 is 3x + 4y =0...

    Text Solution

    |

  12. Area of the triangle formed by the line x+y=3 and angle bisectors o...

    Text Solution

    |

  13. If the pair of lines ax^2+2hxy+by^2= 0 (h^2 > ab) forms an equilateral...

    Text Solution

    |

  14. The area (in square units ) of the quadrilateral formed by two pairs o...

    Text Solution

    |

  15. The equation 4x^(2)-24xy+11y^(2)=0 represents

    Text Solution

    |

  16. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie long diameters of a circ...

    Text Solution

    |

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

    Text Solution

    |

  18. If theta1 and theta2 are the angles made by the lines (x^2 +y^2)(cos...

    Text Solution

    |

  19. If the product of the perpendiculars drawn from the point (1,1) on the...

    Text Solution

    |

  20. If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair ...

    Text Solution

    |