Given that a circle with centre(-1.5,0.5)and radius 5/2(√ 2)
Find the length of the chord 4x-3y-5=0 of the circle.
Thanks
Plug in the given values into the general equation of a circle:
Solve the equation of the line for
Plug in the term of y into the equation of the circle. Solve the equation for x. You'll get 2 values:
Plug in these values into the equation of the line to get the corresponding values of y:
The line intersects the circle in the points P(2, 1) and Q(-1, -3).
Calculate the length of the chord PQ: