Prove that quadrilateral `A B C D` , where `A B-=x+y-10 ,B C-=x-7y+50=0,C D-=22 x-4y+125=0,a n dD A-=2x-4y-5=0,` is concyclic. Also find the equation of the circumcircle of `A B C Ddot`

In Fig.85, A B C D\ a n d\ A C B Ddot Find the value of x , y , zdot

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 cyclic quadrilateral such that ∠A=( 4y+20 )°, ∠B=( 3y−5 )°, ∠C=( −4x)° and ∠D=( -7x+5 )° . Find the four angles.

In a cyclic quadrilateral ABCD ,/_A=(2x+4)^(@),/_B=(x+10)^(@),/_C=(4y-4) and /_D=(5y+5)^(@). Find the values of x and y hence find all the angles.

If b gt a , d gt c then are of quadrilateral formed by straight lines x = b, x = a, y = c and y =d is

In a parallelogram A B C D , if /_A=(3x-20)^0,\ /_B\ (y+15)^0,\ /_C=(x+40)^0, then find the values of x\ a n d\ y

In a cyclic quadrilateral ABCD/_A=(2x+4)o,quad /_B=(y+3)o,quad /_C=(2y+10)o,quad /_D=(4x-5)0. Find the four angles.

Find the angles of a cyclic quadrilateral ABCD in which /_A=(4x+20)^(@),/_B=(3x-5)^(@),/_C=(4y)^(@) and /_D=(7y+5)^(@).

If the lines x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0 are concurrent, then write the value of 2a b c-a b-b c-c adot