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 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

In a triangle ABC ,the bisectors of angles BandC lies along the lines x=y and y=0 . If A is (1,2) ,then the equation of line BC is (a) 2x+y=1 (b) 3x-y=5 (c) x-2y=3 (d) x+3y=1