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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Originally Posted by shoro

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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Since (1, 1) lies on you know that

.... (1)

To get another equation, I'd calculate the value of the gradient of the curves and at (1, 1) and then set the product of the gradients equal to -1.

Now solve two equations simultaneously for a and b.