## 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

Rectangular hyperbola.

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

Rectangular hyperbola.

#### SIMILAR QUESTIONS

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

The angle between the asymptotes of the hyperbola is

If *P* is any point on the hyperbola , and *S*_{1 }and *S*_{2} are its foci, then | *S*_{1}*P** –* *S*_{2}*P *| =

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

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

The line *P* = *x* become tangent to if

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

The locus of the point of intersection of the lines

, where *m* is a parameter, is always