1
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
The angle between the tangents drawn from the point $$(1, 4)$$ to the parabola $${y^2} = 4x$$ is
A
$$\pi /6$$
B
$$\pi /4$$
C
$$\pi /3$$
D
$$\pi /2$$
2
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+2
-0.5
The focal chord to $${y^2} = 16x$$ is tangent to $${\left( {x - 6} \right)^2} + {y^2} = 2,$$ then the possible values of the slope of the chord, are
A
$$\left\{ { - 1,\,1} \right\}$$
B
$$\left\{ { - 2,\,2} \right\}$$
C
$$\left\{ { - 2,\,-1/2} \right\}$$
D
$$\left\{ { 2,\,-1/2} \right\}$$
3
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
The locus of the mid-point of the line segment joining the focus to a moving point on the parabola $${y^2} = 4ax$$ is another parabola with directrix
A
$$x = -a$$
B
$$x = -a/2$$
C
$$x = 0$$
D
$$x = a/2$$
4
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
The equation of the common tangent to the curves $${y^2} = 8x$$ and $$xy = - 1$$ is
A
$$3y = 9x + 2$$
B
$$y = 2x + 1$$
C
$$2y = x + 8$$
D
$$y= x + 2$$
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