Let `E` be the ellipse `(x^2)/9+(y^2)/4=1` and `C` be the circle `x^2+y^2=9` . Let `Pa n dQ` be the points (1, 2) and (2, 1), respectively. Then `Q` lies inside `C` but outside `E` `Q` lies outside both `Ca n dE` `P` lies inside both `C` and `E` `P` lies inside `C` but outside `E`

Does the point ( 2,5), (3,5) lie inside, outside or on the circle x^2+y^2=25 ?

The point (2, 4) lies inside the circle x^(2) + y^(2) = 16 . The above statement is

Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 +y^2 =25 ?

Let 2x - 3y = 0 be a given line and P (sintheta, 0) and Q(0, costheta) be two points. Then P and Q lies on the same side of the given line if theta lies in the

Let C_1 and C_2 be two circles whose equations are x^2+y^2-2x=0 and x^2+y^2+2x=0 and P(lambda, lambda) is a variable point . List 1 a) P lies inside C1 ​ but outside C2 ​ 2)P lies inside C2 ​ but outside C1 ​ c)P lies outside C1 ​ but outside C2 ​ d)P does not lie inside C2 ​ List 2 p)λ ϵ (−∞,−1)∪(0,∞) q)λ ϵ (−∞,−1)∪(1,∞) r)λ ϵ (−1,0) s)λ ϵ (0,1)

Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that these circles touch each other one of these circles lies entirely inside the other each of these circles lies outside the other they intersect at two points.

If the points (lambda, -lambda) lies inside the circle x^2 + y^2 - 4x + 2y -8=0 , then find the range of lambda .

If e_1 and e_2 are eccentricities of x^2 /18 + y^2 /4 = 1 and x^2 /9 - y^2 /4 = 1 respectively and if the point (e_1, e_2) lies on ellipse 15x^2 + 3y^2 = k . Then tha value of k

If the circle x^2+y^2+2a_1x+c=0 lies completely inside the circle x^2+y^2+2a_2x+c=0 then

Check wheather The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .