The line y = mx + 1 intersects the circle x^2 + y^2 – 19x - 51 = 0 at the point P(5, 11). a) Find the coordinates of the point Q where the line meets the curve again.

b) Find the equation of the perpendicular bisector of the line PQ.

c) Find the x-coordinates of the points where this perpendicular bisector intersects the circle.

∠cbe and ∠deb are same-side interior angles.

i took the test

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

i believe it's a.

i'm not sure on this one, most likely correct.

c

step-by-step explanation: easy math