Q27 of 27 Page 11

Find the distance between the directrices of the hyperbola x = 8 sec θ, y = 8 tan θ.

As we know standard form of the equation of hyperbola is,



Distance between directrix is given by


x = 8 sec θ and y = 8 tan θ



We know,


sec2 θ – tan2 θ = 1




Here a = 8 and b = 8


Now,






Hence, distance between directrix,





More from this chapter

All 27 →
23

The distance between the foci of a hyperbola is 16 and its eccentricity is , then find the equation of the hyperbola.

 24

If the points (0, 4) and (0, 2) are respectively the vertex and focus of a parabola, then find the equation of the parabola.

 25

Find the area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the ends of its latus - rectum.

 26

The sides of a squares are x = 6, x = 9, y = 3 and y = 6. Find the equation of a circle drawn on the diagonal of the square as its diameter.