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

1. ## 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.

2. 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.
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.