Question: If from a point P tangents PQ and PR are drawn to the ellipse $\frac{x^{2}}{2} + y^{2}$=1, so that...

Question

If from a point P tangents PQ and PR are drawn to the ellipse $\frac{x^{2}}{2} + y^{2}$ =1, so that equation of QR is x+3y=1, then coordinates of P is

Answer 1

Solution

Let coordinates of P be (h, k) then equation of QR is $\frac{hx}{2} + ky$ =1

but is given as x + 3y = 1

$\because$ 1 and 2 are identical

∴ $\frac{h}{2} = \frac{k}{3} = 1$ ⇒ h =2 and k = 3

∴ coordinates P is (2, 3).

Question: If from a point P tangents PQ and PR are drawn to the ellipse \(\frac{x^{2}}{2} + y^{2}\)=1, so that...

Solution