length of the chord intercepted by the line x+y=5 on the parabola y=x^2+3x is

6 root 2 is the answer
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length of the chord interceptwd by the the parabola y=x^2+3x on line x+y=5
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Solve both the equations: We get P(-5,10) and Q(1,4). Now find the distance between P and Q We get √72=2√26
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Let points be x1, y1 and x2, y2. The points will satisfy lines equation as well as parabola's equation. The points come out to be (1,4) and (-5,10). The dist between them is 6root2 that is the answer
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