If a and b are the zeros of the quadratic polynomial f (x) =xsquare - p ( x+1)-c, show that (a +1) (b +1) = 1-c.
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If no external torque acts on a body, its angular velocity remains conserved. Explanation: If no external torque acts on a body, its angular velocity is not conserved but angular momentum is conserved. ... Hence the angular momentum of the heavenly body remains constant over its entire orbit.
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