Evaluate the function for for f(2). f(x)=x2−5x+7
1 answer:
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(9,24) and (-8,7) could be the coordinate of B. Hence, the option B is correct.
From the given question,
The segments AP and BP have the same length.
The coordinates of A=(-1, 0) and P=(4,l2).
We have to find the coordinates of B.
let the coordinate of B=(x,y)
So as given:
AP=BP
Putting the values
Simplifying
Square on both side, we get
(x-4)^2+(y-12)^2=169
Now put (3/2,6)
(3/2-4)^2+(6-12)^2=169
{(3-8)/2}^2+(-6)^2=169
(-5/2)^2+36=169
6.25+36=169
42.25=169(false)
Now put (9,24)
(9-4)^2+(24-12)^2=169
(5)^2+(12)^2=169
25+144=169
169=169(True)
Now put (-8,7)
(-8-4)^2+(7-12)^2=169
(-12)^2+(-5)^2=169
144+25=169
169=169(True)
So, (9,24) and (-8,7) could be the coordinate of B.
Hence, the option B is correct.
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The right question is:
Segments AP and BP have the same lengh. If the coordinates of A and P are (-1,0) and (4,12), respectively, which could be the coordinates of B ?
I. (3/2,6) II. (9,24) III. (-8,7)
(A) I and II only
(B) II and III only
(C) II only
(D) III only