Problem

Problem

Let

C_1

and

C_2

be respectively, the parabolas

x^2 = y - 1

and

y^2 = x - 1

. Let

P

be any point on

C_1

and

Q

be any point on

C_2

. Let

P_1

and

Q_1

be the reflections of

P

and

Q

, respectively with respect to the line

y = x

.

P_1

and

Q_1

lie on a.

C_1

and

C_2

respectively b.

C_2

and

C_1

respectively c. Cannot be determined d. None of these

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