Conic Section T...

The tangent at (1, 7) to the curves x² = y - 6 touches the circles x ² + y² + 16x + 12y + c = 0 at

The number of normals drawn to parabola y² = 4x from the point (1, 0) is

The line x + y = 6 is a normal to the parabola y² = 8x at the point

If the line y = 2x + λ be a tangent to the hyperbola 36x² - 25y² = 3600, then λ is equal to

The equation of the tangent parallel to y - x + 5 = 0, drawn to

The equation of the line which is tangent to both the circle x² + y² = 5 and the parabola y² = 40x is

The common tangent of the parabola y² = 4x and x² = - 8y, is

If the normal at (ap², 2ap) on the parabola y² = 4ax, meets the parabola again at (aq², 2aq), then

The locus of a point P(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola