Analytic Geometry Answers

The equation of tangents at point (0,0) to circle ,making intercepts of length 2a and 2b units on coordinate axis is(are)----------------

Find equation of the line which is perpendicular to the line y=5x + 9
and has y-intercept = 6.

An object, that remains at rest, is acted upon by three forces F1, F2 and F3. The component forms of F1 and F2 are given by

F1 =ai + bj and F2 = ci + dj

where a = -116, b = 50, c = 129 and d = -195. If the component form of F3 is of the form

F3 = xi + yj

then what is the value of x?

When luke, the new kid, asked how old Annabelle was, she replied, "in two years, i'll be twice as old as i wa five years ago." How old is Annabelle?

Find the co-ordinates of those points on the line 3x+2y=5 which are equidistant from the lines 4x+3y=7 and 2y-5=0

A point equidistant from the lines 4x+3y+10 = 0, 5x-12y+26 = 0 and 7x+24y-50 = 0 is

Assume you have a lawn that is 45 feet by 25 feet. Further, assume you buy a trampoline (a circular one) that is 15 feet in diameter. How much of the lawn is NOT under the tramp?

Find the intersection of the line X + Y - 6 = 0 and the circle X[sup]2[/sup] + Y[sup]2 [/sup]- 4X - 4 = 0.

Parallel to y axis (0,6) (3,-6) (8,14)

(0,6) = 0A + 36C + 0D + 6E + F = 0

(3,-6) = 9A + 36C + 3D –6E + F = 0

(8,14) = 64A + 196C + 8D + 14E + F = 0

A circle who's center is (4,-1) passes through focus of parabola x[sup]2[/sup]+16y=0 show that circle touches directrix of parabola.