Find the area of the largest rectangle that will fit inside the region bounded by y = - x^2 +1 and y = x^2 ?
A helicopter is flying along the curve given by y = x^2 + 7. A soldier placed at (3,7) wants to shoot down the helicopter. He would find it feasible to do so when It is closest to him. Find this closest distance at which he can shoot the helicopter.
In the above figure, AB, CD, EF and GH are straight lines passing through a single point. Find the value of angle x+y+w+z.
Note
Angle EFH is 55 degrees
Angle ACD is 37 degrees
Angle GHF is 85 degrees