1
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+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 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$f:\left( {0,\infty } \right) \to R$$ and $$F\left( x \right) = \int\limits_0^x {f\left( t \right)dt.} $$ If $$F\left( {{x^2}} \right) = {x^2}\left( {1 + x} \right)$$, then $$f(4)$$ equals
A
$$5/4$$
B
$$7$$
C
$$4$$
D
$$2$$
4
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
A man from the top of a $$100$$ metres high tower sees a car moving towards the tower at an angle of depression of $${30^ \circ }$$. After some time,the angle of depression becomes $${60^ \circ }$$. The distance (in metres) travelled by the car during this time is
A
$$100\sqrt 3 $$
B
$$200\sqrt 3 /3$$
C
$$100\sqrt 3 /3$$
D
$$200\sqrt 3 $$
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