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1

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)
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)
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)
If $$x$$ $$=$$ $$9$$ is the chord of contact of the hyperbola $${x^2} - {y^2} = 9,$$ then the equation of the vcorresponding pair of tangents is
A
$$9{x^2} - 8{y^2} + 18x - 9 = 0$$
B
$$9{x^2} - 8{y^2} - 18x + 9 = 0$$
C
$$9{x^2} - 8{y^2} - 18x - 9 = 0$$
D
$$9{x^2} - 8{y^2} + 18x + 9 = 0$$
4

IIT-JEE 1999

MCQ (Single Correct Answer)
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

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