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A circle C1 is drawn having any point P ...

A circle `C_1` is drawn having any point `P` on x-axis as its centre and passing through the centre of the circle `C: x^2+y^2=1`. A common tangent to `C_1` and `C` intersects the circles at `Q` and `R` respectively. Then, `Q(x, y)` always atisfies `x^2=lambda`, then find the value of `lambda`.

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