Question

Vectors (Grade 12)
(Can't figure this out)

A (5,0) and B (0,2) are points on the x- and y-axes, respectively.

a) Find the coordinates of point P(a,0) on the x-axis such that l PA l = l PB l

b) Find the coordinates of a point on the y-axis such that l QB l = l QA l.

(Ans a: 21/10, 0)
(Ans b: 0, -21/4)

Answer 1

application of distance formula

Answer 2

Yeah......Could you be a little more specific please

Answer 3

for a
you want to determine "a" for the point "P"

so that the distance of PA is the same as the distance of PB

Answer 4

Yes

Answer 5

the distance formula being

\[d= \sqrt {(x_2-x_1)^2+ (y_2-y_1)^2}\]

A (5,0) and B (0,2) and P(a,0)

find the distance of PA and find the distance of PB

set teh 2 distances equal to each other
and solve for a

Answer 6

Let me try that out.

Answer 7

I am at 21 - 11a + a^2 = 0, is that right so far?

Answer 8

i wouldve assumed that the a^2 would have cancelled out somewhere

Answer 9

double check your math

Answer 10

Okay, I have got it

Answer 11

the 2nd question is pretty much the same thing

Answer 12

just different axis

Answer 13

do we just make up the components, e.g Q(a,b)

Answer 14

its on the y- axis

so its (0,b)

Answer 15

Oh, okay. Thanks

Answer 16

no prob