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 quantity X is given by $${\varepsilon _0}L{{\Delta V} \over {\Delta t}}$$ where $${\varepsilon _0}$$ is the permittivity of the free space, L is a length, $${\Delta V}$$ is a potential difference and $${\Delta t}$$ is a time interval. The dimentional formula for X is the same as that of
A
resistance
B
charge
C
voltage
D
current
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