Home
Class 11
MATHS
The image of P(a,b) on the line y=-x is ...

The image of `P(a,b)` on the line `y=-x` is Q and the image of Q on the line `y=x` is R find the mid-point of P and R

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

The point Q is the image of the point P(1,5) about the line y=x and R is the image of the point Q about the line y=-x. The circumcentre is the DeltaPQR is

The point P(3,6) is first reflected on the line y=x and then the image point Q is again reflected on the line y=-x to get the image point Q'. Then the circumcentre of the DeltaPQ""Q' is

A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x=0 at a point Q Let R be the image of Q in the line y=x, then circle whose extremities of a dameter are Q and R passes through a fixed point, the fixed point is

The end points P and Q of a rod PQ having length 8 unit slide along the lines y = 2 and x = 4 respectively. Find the equation of the locus of the mid point of the rod.

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

Let P\ a n d\ Q be any two points. Find the coordinates of the point R\ which divides P Q externally in the ratio 2:1 and verify that Q is the mid point of P R .

The image of the point (4, -3) with respect to the line x-y=0 is,

The image of the point (3,8) with respect to the line x+3y=7 is

Find the image of the point (1,6,3) with respect to the line x/1=(y-1)/2=(z-2)/3 and also find the equation of the line passing through the point and its image.

Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x - 3y + 4 = 0 .

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If a pair of perpendicular straight lines drawn through the origin f...

    Text Solution

    |

  2. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  3. The image of P(a,b) on the line y=-x is Q and the image of Q on the li...

    Text Solution

    |

  4. Consider a DeltaABC whose sides AB, BC and CA are represented by the s...

    Text Solution

    |

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

    Text Solution

    |

  6. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

  7. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  8. The number of values of k for which the lines (k+1)x+8y=4k and kx+(k+3...

    Text Solution

    |

  9. For all real values of a and b lines (2a+b)x + (a+3b)y+(b-3a)=0 and mx...

    Text Solution

    |

  10. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

    Text Solution

    |

  11. The absolute value of the sum of the abscissas of all the points on th...

    Text Solution

    |

  12. The point (x , y) lies on the line 2x+3y=6. The smallest value of the ...

    Text Solution

    |

  13. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  14. One of the diagonals of a square is the portion of the line x/2+y/3=2 ...

    Text Solution

    |

  15. Two sides of a triangle are along the coordinate axes and the medians ...

    Text Solution

    |

  16. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then ...

    Text Solution

    |

  17. In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A lie...

    Text Solution

    |

  18. If the straight lines 2x+3y-1=0,x+2y-1=0,and ax+by-1=0form a triangle ...

    Text Solution

    |

  19. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  20. If the area of the rhombus enclosed by the lines l x+-m y+-n=0 is 2 s...

    Text Solution

    |