**difficulty:** easy **type:** mcq **focus:** tangent-slope-form The tangent to x^2/4 + y^2/3 = 1 with slope 1 is:

**difficulty:** easy **type:** mcq **focus:** tangent-condition The line y = 2x + c is tangent to x^2/9 + y^2/4 = 1 when c^2 equals:

**difficulty:** medium **type:** mcq **focus:** tangent-parametric The equation of the tangent at eccentric angle pi/4 on x^2/16 + y^2/9 = 1 is:

**difficulty:** medium **type:** mcq **focus:** normal-point-form The normal to x^2/9 + y^2/4 = 1 at (3*cos(60), 2*sin(60)) = (3/2, sqrt(3)) is:

**difficulty:** easy **type:** mcq **focus:** tangent-point-form The tangent to x^2/16 + y^2/9 = 1 at (4, 0) is: