Question

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is

Solution

Correct option is

Rectangular hyperbola.

 

If θ is angle make by tangent to wave with x-axis const.

 Rectangular hyperbola.

SIMILAR QUESTIONS

Q1

The equation of the conic with focus at (1, –1), directrix along – y + 1 = 0 and with eccentricity  is

Q2

The angle between the asymptotes of the hyperbola  is

Q3

If P is any point on the hyperbola , and Sand S2 are its foci, then | S1P – S2| =

Q4

The point of intersection of two perpendicular tangents to  lies on the circle

Q5

 

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is

 

Q6

 

The line P = x  become tangent to  if

 

Q7

The product of perpendicular drawn from any point on the hyperbola to its asymptotes is

Q8

 

The locus of the point of intersection of the lines 

, where m is a parameter, is always