A common tangent to 9x2 - 16y2 = 144 and x2 + y2 = 9 is
None of these
B.
Given curves are 9x2 -16y2 = 144 and x2 + y2 = 9
Let the equation of common tangent is
y = mx + c
Since, y = mx + c is a tangent to
9x2 - 16y2 = 144
Similarly, y = mx + c is a tangent to
x2 + y2 = 9
From Eqs. (i) and (ii), we get
16m2 - 9 = 9 + 9m2
From Eq. (ii), c2 =
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