Question

1. A curve has equation y = x2 - 4x + 4 and a line has the equation y = mx,
where m is a constant.
a. For the case where m= 1, the curve and the line intersect at the points
A and B.
Find the coordinates of the mid-point of AB.
[5]​

Answer 1

Answer:

Here are your answers

The concept connects the coordinate geometry of Class 10th with the Calculus of class 11th

Step-by-step explanation:

Check the attachment...

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Answer 2

answer:  

y=x^2+4x-4=x

x^2-3x-4=0

x=4 OR x=-1

Step-by-step explanation:

given that m=1

y=1(x)

which will just be y=x

hence x^2+4x-4=x

equate the equation to 0 and simplify (4x-x)

factor out the equation and you are to get x=4 OR x=-1

so, the coordinates of the midpoint are (4,0) OR (-1,0)