Solving problems (problems), urgency, online, etc.

(1) because OM=X, OA= 1.

So AM=X- 1, CM=X+ 1.

So CA=2 times the root number X.

So Y= 1/2*OM*CA=X times the root number X.

(2) Because OA= 1 and AB=2, the diameter of circle N is 2, so the sum of the diameters of circle O and circle N is 4.

So the point m is on the circle n.

Let NP be perpendicular to CM

So triangle NPM is equal to triangle cam.

So NP:CA=NM:CM, which means NP: 8 = 1: 5.

So NP = 8/5, which means NP is greater than 1.

So the straight line CM is separated from the circle n.

(3) ME is perpendicular to OP because MP = Mo and OE = PE.

Because OE=OA, angle MOE= angle COA, angle MEO= angle CAO=90 degrees.

So the MOE of the triangle is equal to the COA of the triangle.

So OM=OC

In RT triangle COA, OC=X, OA= 1, CA=2 times the root X.

According to Pythagorean Theorem, X=2+ radical number 5.