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find k value

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Find the value of k if 2x + 3y + 4 = 0 and x + y +k = 0 are conjugate with respect to the parabola y^2= 8x.
asked Apr 18, 2014 in ALGEBRA 2 by jouis Apprentice

1 Answer

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The equation of the parabola is image.

The above equation is can form image.

Therefore, image

image

The condition for the lines image to be conjugate with respect to the parabola image is image.

The equations image are conjugate with recept to image.

Therefor, image

image

image

image

image

answered Apr 19, 2014 by ashokavf Scholar

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