Let and be respectively the parabolas and

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

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, in the line

y=x

P_1

and

Q_1

lie on (1)

C_1

and

C_2

respectively (2)

C_2

and

C_1

respectively (3) Cannot be determined (4) None of these