Write down the equation of a conic with eccentricity e, focus (0,a) and directrix X-axis.

Write the equation of x-axis.

Write he equations of y-axis.

The equation of the parabola with the focus (3,0) and directrix x+3=0 is

Find the equation of the parabola with vertex is (2, 1) and the directrix is x = y -1.

The equation of a parabola whose focus is (-3,0) and dielectrix is x+5=0.

Write down Maxwell's equation for steady electric field.

The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of eccentricity e meets the axes of the ellipse at Qa n dRdot Then the locus of the midpoint of Q R is a conic with eccentricity e ' such that (a) e^(prime) is independent of e (b) e^(prime)=1 (c) e^(prime)=e (d) e^(prime)=1/e

Find the equation of the hyperbola whose directrix is 2x+y=1, focu s(1,2) and eccentricity sqrt(3)dot