Home
Class 12
MATHS
Show that the reflection of the line px+...

Show that the reflection of the line `px+qy+r=0` in the line `x+y+1 =0` is the line `qx+py+(p+q-r)=0,` where `p!= -q`.

A

`x-y=p+q`

B

`x-y=p-q`

C

`x+y+1=0`

D

`x+y-1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|21 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

If r is the geometric mean of p and q, then the line px+qy+r=0

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0 ,(1+q)x-qy+q(1+q)=0 and y=0 where p!=q is (A) a hyperbola (B) a parabola (C) an ellipse (D) a straight line

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0,(1+q)x-qy+q(1+q)=0 and y=0, where p!=*q, is (A) a hyperbola (B) a parabola (C) an ellipse (D) a straight line

Let image of the line (x-1)/(3)=(y-3)/(5)=(z-4)/(2) in the plane 2x-y+z+3=0 be L. A plane 7x+py+qz+r=0 is such that it contains the line L and perpendicular to the plane 2x-y+z+3=0 then p=1 (b) q=42p+q+r=30( d) p+q+r=0

Solve the following pair of linear equations : px + qy= p-q qx- py= p+q

Shown below are the graphs of the lines y-2x=0, x+y=6 and px+qy=r Which of these is the solution for the pair of equations x+y=6 and px+qy=r

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. If the circumcentre of a triangle lies at the point (a, a) and the cen...

    Text Solution

    |

  2. If A(at^2, 2at), B((a)/(t^2) , - (2a)/(t)) and C(a, 0) be any three po...

    Text Solution

    |

  3. Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is...

    Text Solution

    |

  4. Coordinates of the vertices B and C of the base of a triangle ABC are ...

    Text Solution

    |

  5. If the line sqrt(5)x=y meets the lines x = 1, x = 2, ….. x = n at poin...

    Text Solution

    |

  6. One diagonal of a square is the portion of the line 3x+2y=12 intercept...

    Text Solution

    |

  7. If y=m(i)x+(1)/(m(i)(i=1,2,3) represents three stright lines whose slo...

    Text Solution

    |

  8. If the system of equations a1x+b1y+c1, a2x+b2y+c2=0 is inconsistent, a...

    Text Solution

    |

  9. Reflection of the line x+y+1=0 in the line lx+my+n=0 is

    Text Solution

    |

  10. ABCD is square in which A lies on positive y-axis and B lies on the po...

    Text Solution

    |

  11. ABCD is a rhombus. Its diagonals AC and BD intersect at the point M an...

    Text Solution

    |

  12. A straight line passes through the point (-5,2) and the portion of the...

    Text Solution

    |

  13. The equation ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular l...

    Text Solution

    |

  14. The equation ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident line...

    Text Solution

    |

  15. The equation ax^2+by^2+cx+cy=0 c !-=0 represents a pair of straight li...

    Text Solution

    |

  16. The equation x^(2)-6x^(2)y+11xy^(2)-6y^(3)=0 represents three straight...

    Text Solution

    |

  17. If the slope of the lines given by...8x^3+a x^2y+b x y^2+y^3=0 are in ...

    Text Solution

    |

  18. If the slope of one of the lines given by 6x^(2)+axy+y^(2)=0 exceeds t...

    Text Solution

    |

  19. If the slope of one of the lines represented by ax^(2)+(3a+1)xy+3y^(2)...

    Text Solution

    |

  20. If pairs of opposite sides of a quadrilateral are x^(2)-7x+6=0 and y^(...

    Text Solution

    |