Determine whether the points P(1,0), Q(2,1) and R(2,3) lie outside the circle, on the circle or inside the circle x² + y² - 4x- 6y + 9 = 0

Find the equation of the parabola which is symmetrical about x-axis and passing through (-2, -3).

A private company appointed a clerk in the year 2012, his salary was fixed as Rs.20,000. In 2017 his salary raised to Rs.25,000.
(i) Express the above information as a linear function in x and y where y represent the salary of the clerk and x-represent the year.
(ii) What will be his salary in 2020?

Find the equation of the circle passing through the points (0,0), (1, 2) and (2,0).

Find the axis, vertex, focus, equation of directrix and the length of latus rectum for the parabola x² + 6x - 4y + 21 = 0