In the equation of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, if a > b, then the major axes lie along the

Q. If the normal at P on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ cuts the major and minor axes in Q and R respectively then PQ:PR =

Q. If the ellipse $\frac{x^2}{4}+y^2=1$ meets the ellipse $x^2+\frac{y^2}{a^2}=1$ in four distinct points and $a=b^2-5b+7$, then $b$ does not lie in

Q. If the normal at a point $P$ on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ of semi axes $a,b$ & centre $C$ cuts the major &minor axes at $G$ & $g$ , then

Q. If the ellipse $\frac{x^2}{4}+y^2=1$ meets the ellipse $x^2+\frac{y^2}{a^2}=1$ at four distinct points and $a=b^2-5b+7$, then b does not lie in

Q. If the normal at P on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ cuts the major and minor axes in Q and R respectively then PQ:PR =