1
IIT-JEE 1994
MCQ (Single Correct Answer)
+2
-0.5
The equation $$2{x^2} + 3{y^2} - 8x - 18y + 35 = k$$ represents
A
no locus if $$k > 0$$
B
an ellipse if $$k < 0$$
C
a point if $$k = 0$$
D
a hyperbola if $$k > 0$$
2
IIT-JEE 1994
MCQ (Single Correct Answer)
+2
-0.5
Let $$E$$ be the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ and $$C$$ be the circle $${x^2} + {y^2} = 9$$. Let $$P$$ and $$Q$$ be the points $$(1, 2)$$ and $$(2, 1)$$ respectively. Then
A
$$Q$$ lies inside $$C$$ but outside $$E$$
B
$$Q$$ lies outside both $$C$$ and $$E$$
C
$$P$$ lies inside both $$C$$ and $$E$$
D
$$P$$ lies inside $$C$$ but outside $$E$$
JEE Advanced Subjects