The length of latus rectum of a parabola, whose focus is (2, 3) and directrix is the line x – 4y + 3 = 0 is

Solution :

The length of latus rectum = 2 x perpendicular from focus to the directrix

= 2 x |\({2-4(3)+3}\over {\sqrt{1+16}}\)| = \(14\over \sqrt{17}\)


Similar Questions

The slope of the line touching both the parabolas \(y^2\) = 4x and \(x^2\) = -32 is

Find the locus of middle point of the chord of the parabola \(y^2\) = 4ax which pass through a given (p, q).

Find the equation of the tangents to the parabola \(y^2\) = 9x which go through the point (4,10).

Find the value of k for which the point (k-1, k) lies inside the parabola \(y^2\) = 4x.

What is the equation of tangent to the parabola having slope m?

Leave a Comment

Your email address will not be published.