1
IIT-JEE 2001 Screening
+2
-0.5
The equation of the directrix of the parabola $${y^2} + 4y + 4x + 2 = 0$$
A
$$x = - 1$$
B
$$x = 1$$
C
$$x = - 3/2$$
D
$$x = 3/2$$
2
IIT-JEE 2001 Screening
+2
-0.5
The equation of the common tangent touching the circle $${\left( {x - 3} \right)^2} + {y^2} = 9$$ and the parabola $${y^2} = 4x$$ above the $$x$$-axis is
A
$$\sqrt {3y} = 3x + 1$$
B
$$\sqrt {3y} = - \left( {x + 3} \right)$$
C
$$\sqrt {3y} = x + 3$$
D
$$\sqrt {3y} = - \left( {3x + 1} \right)$$
3
IIT-JEE 2000 Screening
+2
-0.5
If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is
A
$$3$$
B
$$9$$
C
$$-9$$
D
$$-3$$
4
IIT-JEE 2000 Screening
+2
-0.5
If the line $$x - 1 = 0$$ is the directrix of the parabola $${y^2} - kx + 8 = 0,$$ then one of the values of $$k$$ is
A
$$1/8$$
B
$$8$$
C
$$4$$
D
$$1/4$$
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