Tangents to a circle

[tender lagoon]

ibr the qs make no sense

[uncut latch]

,rotate

[uncut latch]

if we know P has coordinates (x,-1), and that P touches the circle, how could we find the x coordinate of P?

[tender lagoon]

find the gradient. but i wanted to know how can P =(x,-1) when P is in the negative x-axis and positive y-axis

or should i ignore the diagram given in the qs??

[uncut latch]

diagram has been drew incorrectly

it's obviously a teachers drawing

[tender lagoon]

ohoh okok

[uncut latch]

you can't really find the gradient without an x coordinate

so what else could we do?

[tender lagoon]

solve the equation of the circle

x^2 + y^2 =10

y^2 = 1 so x^2=9 so x is 3

-3

[uncut latch]

I assume x is -3

cus of the shoddy diagram

now, how could you find the gradient?

[tender lagoon]

change in y over change in x

then work out the perpendicular gradient then substitute and solve

[uncut latch]

do we need the perpendicular gradient?

[tender lagoon]

yhyh cuz i hv to work out the gradient of the tangent

[uncut latch]

oh yeah

I'm stupid dw

I haven't done circles in timeee

[tender lagoon]

irs finnee

[uncut latch]

so what's the gradient

[tender lagoon]

its fine

thanks so much for the help

[tender lagoon]

give me time 😭😭

hv to work tht out

[uncut latch]

im just saying

not expecting you to instantly do it

[tender lagoon]

gradient of tangent will be 3

[uncut latch]

great

wait

0--1/0--3
1/3
-3

[tender lagoon]

y=3x+8

ohoh yhyh

forgot abt tht

so the tangent would be y=-3x-10

[uncut latch]

yeah sounds about right

[tender lagoon]

thanks so much for the help!!

i was really stuck on tht one 😭😭