Question

The length of the latusrectum of the parabola x=10y2+by+c is 1k, then k=

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Solution

The equation of parabola can be rewritten as x−c=10(y2+b10y)⇒10(y+b20)2=x+b2400−c⇒(y+b20)2=110(x+b2400−c) Hence length of the latus-rectum will be 110 ∴k=10

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