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Originally Posted by

**arze** sorry, i thought the major and minor axes where the center was at the origin would be the x and y axes?

My mistake, I should have said what the question says, which is:The tangent at $\displaystyle P(4\cos\theta, 3\sin\theta)$ on the ellipse $\displaystyle 9x^2+16y^2=144$ meets the **tangent at the positive end of the major axis** at Q and the positive end of the minor axis at R.

The last part of that sentence is a bit misleading. It must mean that the tangent at P meets **the tangent at** the positive end of the minor axis at R. You need to take Q and R to be the points where the tangent at P meets the lines x=4 and y=3.