HyperbolaHard
Question
The equation
= 1, |r| < 1 represents
= 1, |r| < 1 represents Options
A.an ellipse
B.a hyperbola
C.a circle
D.None of these
Solution
Given equation is
= 1, where | r |< 1
⇒ 1 - r is (+ ve) and 1 + r is (+ ve)
∴ Given equation is of the form
= 1.
Hence, it represents a hyperbola when | r |<1
= 1, where | r |< 1 ⇒ 1 - r is (+ ve) and 1 + r is (+ ve)
∴ Given equation is of the form
= 1.Hence, it represents a hyperbola when | r |<1
Create a free account to view solution
View Solution FreeMore Hyperbola Questions
Equation of the hyperbola with eccentricity 3/2 and foci at (± 2, 0) is-...The equation of tangents to the hyperbola x2 − 4y2 = 36 which are perpendicular to the line x − y + 4 = 0...If a circle makes intercepts of length 5 and 3 on two perpendicular lines, then the locus of the centre of the circle is...Let P(6, 3) be a point on the hyperbola . If the normal at the point P intersects the x-axis at (9, 0), then the eccentr...The equation of the chord joining two points (x1, y1) and (x2, y2) on the rectangular hyperbola xy = c2 is-...