For hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$ which of the following remains constant with change in $$'\alpha '$$
A
abscissae of vertices
B
abscissae of foci
C
eccentricity
D
directrix
2
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1,$$ is
A
$$27/4$$ sq. units
B
$$9$$ sq. units
C
$$27/2$$ sq. units
D
$$27$$ sq. units
3
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
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
$$y= x + 2$$
4
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
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
$$x = a/2$$
Questions Asked from Conic Sections
On those following papers in MCQ (Single Correct Answer)
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