Let 'E' be the ellipse frac{{{x | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$E :\left( x ^{2} / 9\right)+\left( y ^{2} / 4\right)=1$ and $C : x ^{2}+ y ^{2}=9$

given: $P (1,2)$

Now $1^{2}+2^{2}-9<0 \Rightarrow P$ is i

Vedclass · Accepted Answer

$P$ lies inside $C$  but outside $E.$

Vedclass · Answer

$E :\left( x ^{2} / 9\right)+\left( y ^{2} / 4\right)=1$ and $C : x ^{2}+ y ^{2}=9$

given: $P (1,2)$

Now $1^{2}+2^{2}-9<0 \Rightarrow P$ is inside circle $C$.

also $(1 / 9)+(4 / 4)>1 \Rightarrow P$ is outside ellipse $E$

For $Q(2,1)$

Now $2^{2}+1^{2}-9<0 \Rightarrow Q$ is inside circle $C$.

also $(4 / 9)+(1 / 4)<1 \Rightarrow Q$ is inside ellipse $E$

$\Rightarrow P$ lies inside $C$ but outside $E$

Let $'E'$ be the ellipse $\frac{{{x^2}}}{9}$$+$$\frac{{{y^2}}}{4}$ $= 1$ $\& $ $'C' $ be the circle $x^2 + y^2 = 9.$ Let $P$ $\&$ $Q$ be the points $(1 , 2) $ and $(2, 1)$ respectively. Then :

Similar Questions

Let $P$ be an arbitrary point on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ $a > b > 0$. Suppose $F_1$ and $F_2$ are the foci of the ellipse. The locus of the centroid of the $\Delta P F_1 F_2$ as $P$ moves on the ellipse is

The number of real tangents that can be drawn to the ellipse $3x^2 + 5y^2 = 32$ passing through $(3, 5)$ is

Find the equation for the ellipse that satisfies the given conditions: Major axis on the $x-$ axis and passes through the points $(4,\,3)$ and $(6,\,2)$

The radius of the circle having its centre at $(0, 3)$ and passing through the foci of the ellipse $\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{9} = 1$, is

The eccentricity of the ellipse $25{x^2} + 16{y^2} = 100$, is