Ellipse C: x ²    /a ²     + y ²    /b ²    =1 (a>b>0). Ellipse C pass through point P (1,3/2), Eccentricity e=1/2. Line l: x=4. AB is the chord that  intersect with line l on point M, And F is the right foci of ellipse C. The slopes of PA ,PB, PM are respectively k ₁    , k ₂    , k ₃     . Is there a constant λ that meets k ₁     + k ₂    =λ k ₃     ?

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У P. х A' У P. х A'