Parametric Representation: Hyperbola
Trending Questions
Q.
In parametric representation of a standard hyperbola in θ terms, if x=a secθ. What is y.
b cosec θ
b tan θ
b cos θ
b sin θ
Q. Let C be a conic whose parametric equations are x=et+e−t2 and y=et−e−t3; where t is a parameter. Then which of the following is/are true?
- C is a hyperbola with eccentricity √133
- C is a hyperbola with eccentricity √53
- C intersects y− axis at two points
- Auxilary circle of C passes through the point (12, −√32)
Q. PM and PN are the perpendiculars from any point P on the rectangular hyperbola xy=8 to the asymptotes. If the locus of the mid point of MN is a conic, then the least distance of (1, 1) to director circle of the conic is
- √3 unit
- 2√3 unit
- 2√5 unit
- √2 unit
Q. The curve described parametrically by y=Btanθ and x=Asecθ represents
- Ellipse
- Parabola
- Hyperbola
- Circle
Q. PM and PN are the perpendiculars from any point P on the rectangular hyperbola xy=8 to the asymptotes. If the locus of the mid point of MN is a conic, then the least distance of (1, 1) to director circle of the conic is
- 2√5 unit
- 2√3 unit
- √3 unit
- √2 unit