Observe the following statements :
I. The circle x2 + y2 - 6x - 4y - 7 = 0 touches y-axis.
II. The circle x2 + y2 + 6x + 4y - 7 = 0 touches
x-axis. Which of the following is a correct statement ?
Both I and II are true
Neither I nor II is true
I is true, II is false
I is false, II is true
If b and c are the lengths of the segments of any focal chord of a parabola y2 = 4ax, then the length of the semi-latus rectum is
If the eccentricity of a hyperbola is ; then the eccentricity of its conjugate hyperbola is :
C.
Let e and e' are the eccentricities of a hyperbola and its conjugate hyperbola.
We know that,
The sides of the rectangle of greatest area that can be inscribed in the ellipse x2 + 4y2 = 64 are :