Isn’t Q just ?
The locus would be the ellipse .
I'm stuck on the following question:
The point P(7cost, 5sint) is on the ellipse with equation [(x^2)/49]+[(y^2)/25]=1. The line through P parallel to the y-axis meets the x-axis at X. The point Q is on the line XP produced so that XQ=2XP. Find, in cartesian form, an equation of the locus of Q, as t varies.
Could someone help please?
Hello, free_to_fly!
Did you make a sketch?
The point is on the ellipse: .
The line through parallel to the y-axis meets the x-axis at
The point is on the line produced so that:
Find, in cartesian form, an equation of the locus of as varies.Code:| * Q | : | : * * * : * | * : * | * P * | * :* | * : * | * t : * - * - - - - - - + - - - - - + * - * | X * | * | * * | * * | * * * * |
I totally agree with Jane . . .
has the same x-coordinate as
. . and has twice the y-coordinate.