Answer the following:A hyperbola has transverse axis of length `2sqrt2`. If it passes through (2,-3), find its equation in standard form.

Solve the following: A line is perpendicular to the line 3x+2y-1=0 and passes through the point A(1,1) .Find its equation

The length of the transverse axis of a hyperbola is 7 and it passes through the point (5,-2). The equation of the hyperbola is

The intercept cut off from Y-axis is twice that from X-axis by the line and line passes through (1,2), then its equation is

Answer the following: Find the equation of circle with centre (2,-1) and passing through the point (1,2).

A hyperbola, centred at the origin, has transverse axis 2a. If it passes through a given point ( x_(1), y _(1)), then its eccentricity is

Answer the following question.Find the equation of he line passing through the points S(2,1) and T(2,3)

Answer the following questions:Find the equation of the line passing through A(2,3) and making an angle of 45^@ with the X-axis.Also determine the length of intercept on it between A and the line x+y+1=0

Answer the following: Find the equation of the circle passing through the origin and making intercepts 4 and 5 on the X-axis and Y-axis respectively.