Statement 1 :If the lines `2x+3y+19=0` and `9x+6y-17=0` cut the x-axis at `A ,B` and the y-axis at `C ,D ,` then the points, `A , B , C , D` are concyclic. Statement 2 : Since `O AxO B=O CxO D ,` where `O` is the origin, `A , B , C , D` are concyclic.

The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concyclic points.

If 3x + b_(1)y + 5 =0 and 4x + b_(2)y + 10 = 0 cut the x-axis and y-axis in four concyclic, then the value of b_(1)b_(2) is

If the points (a, 0), (b,0), (0, c) , and (0, d) are concyclic (a, b, c, d > 0) , then prove that ab = cd .

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

If the lines a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 cut the coordinae axes at concyclic points, then prove that |a_1a_2|=|b_1b_2|

A variable line cuts x-axis at A, y-axis at B where OA = a, OB =b (O as origin) such that then the locus of circumcentre of DeltaOAB is-

A B C is an isosceles triangle in which A B=A C . If D\ a n d\ E are the mid-points of A B\ a n d\ A C respectively, Prove that the points B ,\ C ,\ D\ a n d\ E are concyclic.

The line x/a+y/b=1 meets the x-axis at A , the y-axis at B , and the line y=x at C such, that the area of "Delta"A O C is twice the area of "Delta"B O C . Then the coordinates of C are (b/3, b/3) (b) ((2a)/3,(2a)/3) (c) ((2b)/3,(2b)/3) (d) none of these

If the line y = sqrt3x cuts the curve x^4 + ax²y + bxy + 2x + dy + 6 = 0 at A, B, C and D, then value of OA .OB.OC. OD is, (where O is origin) -