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Math Help - I need urgent urgent hel with this parabola question

  1. #1
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    I need urgent urgent hel with this parabola question

    he parabola x=y^2+ay+b crosses the parabola y=x^2 at (1,1) MAKING RIGHT ANGLES. WHAT ARE THE VALUES OF A AND B .

    any help is greatly appreciated.
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  2. #2
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    Quote Originally Posted by shoro View Post
    he parabola x=y^2+ay+b crosses the parabola y=x^2 at (1,1) MAKING RIGHT ANGLES. WHAT ARE THE VALUES OF A AND B .

    any help is greatly appreciated.
    Since (1, 1) lies on x=y^2+ay+b you know that

    a = -b .... (1)

    To get another equation, I'd calculate the value of the gradient of the curves x=y^2+ay+b and y = x^2 at (1, 1) and then set the product of the gradients equal to -1.

    Now solve two equations simultaneously for a and b.
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