1
IIT-JEE 1995 Screening
+2
-0.5
Consider a circle with its centre lying on the focus of the parabola $${y^2} = 2px$$ such that it touches the directrix of the parabola. Then a point of intersection of the circle and parabola is
A
$$\left( {{p \over 2},p} \right)$$ or $$\left( {{p \over 2},- p} \right)$$
B
$$\left( { {p \over 2}, {p \over 2}} \right)$$
C
$$\left( -{{p \over 2},p} \right)$$
D
$$\left( { - {p \over 2}, - {p \over 2}} \right)$$
2
IIT-JEE 1995 Screening
+2
-0.5
The radius of the circle passing through the foci of the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1$$, and having its centre at $$(0, 3)$$ is
A
$$4$$
B
$$3$$
C
$$\sqrt {{1 \over 2}}$$
D
$${{7 \over 2}}$$
3
IIT-JEE 1994
+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 $$k > 0$$
4
IIT-JEE 1994
+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 $$E$$
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