1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+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
$$1/4$$
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is
A
$$3$$
B
$$9$$
C
$$-9$$
D
$$-3$$
3
IIT-JEE 1999
MCQ (Single Correct Answer)
+2
-0.5
The curve described parametrically by $$x = {t^2} + t + 1,$$ $$y = {t^2} - t + 1 $$ represents
A
a pair of straight lines
B
an ellipse
C
a parabola
D
a hyperbola
4
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+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
$$\left( { - {p \over 2}, - {p \over 2}} \right)$$
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