Find the circumference and area of the circle x² +y² - 2x + 5y + 7 = 0

Find the condition for the line lx + my + n = 0 is tangent to the circle x² + y² = a²

Find the equation of the ellipse whose e = \(\frac34\), foci ony-axis, centre at origin and passing through (6, 4).

Find the equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13.

Find the value of c if y = x + c is a tangent to the hyperbola 9x² - 16y² = 144.