Home
Class 12
MATHS
A rectangle A B C D has its side A B par...

A rectangle `A B C D` has its side `A B` parallel to line `y=x ,` and vertices `A ,Ba n dD` lie on `y=1,x=2,` and `x=-2,` respectively. The locus of vertex `C` is `x=5` (b) `x-y=5` `y=5` (d) `x+y=5`

A

x=5

B

`x-y=5`

C

y=5

D

`x+y=5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

A rectangle ABCD has its side AB parallel to line y=x, and vertices A,B and D lie on y=1,x=2, and x=-2, respectively.The locus of vertex C is x=5 (b) x-y=5y=5 (d) x+y=5

A rectangle PQRS has its side PQ parallel to the line y=mx and vertices P,Q, and S on the lines y=a,x=b and x=-b, respectively.Find the locus of the vertex R

42.A rectangle ABCD has its side AB parallel to the line y=x and vertices A,B and D lie on y=1,x=2 and x=-2 respectively.If locus of vertex C is ax +y= b then find the value of a +b:

A rectangle PQRS has its side PQ parallel to the line y = mx and vertices P,Q and S on the lines y = a , x = b and x = -b respectively . Find the locus of the vertex R .

If )-4,0) and (1,-1) are two vertices of a triangle of area 4 sq.units,then its third vertex lies on y=x( b ) 5x+y+12=0x+5y-4=0 (d) x+5y+12=0

The equation of the altitudes AD,BE,CF of a triangle ABC are x+y=0,x-4y=0 and 2x-y=0 respectively.If.A =(t,-t) where t varies,then the locus of centroid of triangle ABC is (A) y=-5x(B)y=x(C)x=-5y(D)x=y

The equations of the sides A B ,\ B C\ a n d\ C A\ of\ "Delta"A B C\ a r e\ y-x=2,\ x+2y=1\ a n d\ 3x+y+5=0 respectively. The equation of the altitude through B is x-3y+1=0 b. x-3y+4=0 c. 3x-y+2=0 d. none of these

ABCD is a rectangle in the clockwise direction. The coordinates of A are (1, 3) and of C are (5, 1), vertices B and D lie on the line y=2x+c , then the coordinates of D are

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A rectangle A B C D has its side A B parallel to line y=x , and vertic...

    Text Solution

    |

  2. The lines parallel ot the x-axis and passing through the intersection ...

    Text Solution

    |

  3. A straight line through the point A(3, 4) is such that its intercept ...

    Text Solution

    |

  4. If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  5. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  6. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  7. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  8. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  9. The line L given by x/5+y/b=1 passes through the point (13, 32). Th...

    Text Solution

    |

  10. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  11. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  12. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  13. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

    Text Solution

    |

  14. For a gt b gt c gt 0 if the distance between (1,1) and the point of i...

    Text Solution

    |

  15. Let P S be the median of the triangle with vertices P(2,2), Q(6,-1) ...

    Text Solution

    |

  16. Let a,b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  17. For a point P in the plane let d(1)(P)and d(2) be the distance of the ...

    Text Solution

    |

  18. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  19. Two sides of a rhombus are along the lines,x-y+1=0 and 7x-y-5=0 . If ...

    Text Solution

    |