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Official 2022 Paper 2 · Q11

Paper 2Logic & proofGeometry

Diagram for question 11 The diagram shows a kite PQRSPQRS whose diagonals meet at OO.

OP=x,OQ=y,OR=x,OS=z.OP=x,\qquad OQ=y,\qquad OR=x,\qquad OS=z.

Which of the following is necessary and sufficient for angle SPQSPQ to be a right angle?

Ax=y=zx=y=z
B2x=y+z2x=y+z
Cx2=yzx^2=yz
Dy=zy=z
Ey2=x2+z2y^2=x^2+z^2

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