Which options is equal to $P X$ in the given figure?

Q Y

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2 Q Y

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\frac{1}{2} Q Y

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X R

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Solution

The correct option is A $Q Y$
As PQRS is a parallelogram
$∠ P R X = ∠ Q S Y$
$P R = Q S$
$\Rightarrow P X = P R sin θ = Q S sin θ$
$\Rightarrow P X = Q Y$

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Which options is equal to PX in the given figure?

The correct option is A QYAs PQRS is a parallelogram ∠PRX=∠QSYPR=QS⇒PX=PRsinθ=QSsinθ⇒PX=QY

Which options is equal to $P X$ in the given figure?

The correct option is A $Q Y$
As PQRS is a parallelogram
$∠ P R X = ∠ Q S Y$
$P R = Q S$
$\Rightarrow P X = P R sin θ = Q S sin θ$
$\Rightarrow P X = Q Y$