Analytic Geometry Answers

(l-b)square=(l+b)square-4lb
Which formula of quadrilateral is this?
I just want its name,,,,plse its urgent its my EXAMS

1.The sides of a circle lie on the lines 3x-4y+8=0, 3x+4y-32=0 and x=8. Find the equation of the circle inscribed circle.
2.The sides of a circle lie on the lines 3x+y-5=0, x+3y+7=0 and x-3y-1=0. Find the equation of the circle inscribed in the triangle.

a square is there of side 2a, a vector from centre is pointing at an angle to one of its side n reflects back to a corner of same side. find these two vectors.

If the coordinates of a point An are (2^n,2^n +1) then (A1A5)^2 is equal to ?

Coordinates of the point An are (n^2,2n) and of Bn are (n^2,-2n). What is the area of the quadrilateral with vertices
A1B1BnAn ?

ason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverware and sells for $3.00.
If the machine costs $9000, and runs for 24 hours a day,how many days will it take the machine to take enough silverware to pay for itself?

the equation of the line passing through the points A and B. A(5,1/2), B(-1,3/4)

The point P(x, 3) is equidistant from (-4, 7) and (5, -6). find x?

Can a right triangle be equilateral?

1. The ordinate of a point which is √29 units from (5,1) is twice its abscissa. Find the point.
2. A point is at a distance 4√2 from (-3/2,-5/2) and at a distance 2√5 from (9/2,-5/2). Find the point.
3. Find the coordinTES OF A POINT EQUIDISTANT FROM (-2,8), (1,-1) and (-8, -4).

thank you!