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Perpendicular Lines and Perpendicular Bisector

Prove using c...

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Prove using calculus that the straight line lx+my+n=0 will touch the hyperbola y²=4ax if am²=nl

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l x + m y + n = 0

touches the parabola

y^{2} = 4 a x

l n = a m^{2}

Q. Prove that the straight line Ix + my + n = 0 touches the parabola

y^{2} = 4 a x

l n = a m^{2} .

l x + m y + n = 0

touches the parabola

y^{2} = 4 a x

l n =

l x + m y + n = 0

touches the parabola

y^{2} = 4 a (x - b)

Q. The condition that the straight line

l x + m y + n = 0

touches the parabola

x^{2} = 4 a y

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Perpendicular Lines and Perpendicular Bisector

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