The differential equation of all parabolas whose axes are parallel to y-axis is
A.
The equation of a member of the family of parabolas having axis parallel to y-axis is
y = Ax2 + Bx + C
where A, B, C are arbitrary constants.
On differentiating w.r.t. x, we get
The locus of a point P which moves such that 2PA = 3PB, where A(0, 0) and B(4,- 3) are points, is
5x2 - 5y2 - 72x + 54y + 225 = 0
5x2 + 5y2 - 72x + 54y + 225 = 0
5x2 + 5y2 + 72x - 54y + 225 = 0
5x2 + 5y2 - 72x - 54y - 225 = 0