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My attempt:

momentum before

**=**momentum after.

**Po + P'o = P + P'**

(a) m1v0 = m1v1cos(theta1) + m2v2cos(theta2)

0 = m1v1sin(theta1) + m2v2sin(theta2)

(b) Squaring

m1^2v1^2 = m1^2xv1^2cos(theta1)^2 + m2^2xv2^2cos(theta2)^2

0 = m1^2xv1^2sin(theta1)^2 + m2^2xv2^2sin(theta2)^2.

But m1=m2 and after adding we get:

v0^2=v1^2 +v2^2.

(c) m1v0^2 = m1v1^2 + m2v2^2,

but m1=m2, therefore

v0^2=v1^2 + v2^2.

(c) give us no more new info.

(d)