EllipseHard
Question
The number of values of c such that straight line y = 4x + c touchhes the curve
+ y2 = 1 is
+ y2 = 1 is Options
A.0
B.2
C.1
D.∞
Solution
For rllipse, condititon of tangency is c2 = a2m2 + b2
Given line is y = 4x + c and curve
+ y2 = 1
⇒ c2 = 4 × 42 + 1 = 65
⇒
Given line is y = 4x + c and curve
+ y2 = 1⇒ c2 = 4 × 42 + 1 = 65
⇒

Create a free account to view solution
View Solution FreeMore Ellipse Questions
An ellipse and a hyperbola have the same centre ″origin″, the same foci. The minor-axis of the one is the sa...The locus of extremities of the latus rectum of the family of ellipses b2x2 + y2 = a2b2 is...Let P be a variable point on the ellipse = 1 with foci S and S′. If A be the area of triangle PSS′, then max...tangent is drawn from point P(- 4, 0) to the ellipse = 1 (a > b) which makes 60o with x-axis. If this tangent intersects...The equation of the ellipse (referred to its axes as the axes of x and y respectively) which passes through the point (&...