Heresy
Active Member
- Joined
- Nov 13, 2017
- Messages
- 146
- Gender
- Male
- HSC
- 2019
I'm having some trouble with some parametric questions:
1. Find the point of intersection of the tangents to the curve x^2 = 12y at (-6,3) and (2, 1/3)
2. The chord of contact of two tangents drawn from an external point P to the parabola x^2 =8y has equation x + 2y -3 = 0. Find the coordinates of P.
3. Given the equation of the normal x+py = 2ap +ap^3, find the points where the tangent intersects the coordinate axes.
4i. The tangent to x^2 =4y at the point (2t, t^2) is y= tx -t^2. If the tangent passes through the point (2,-3), find values of t.
4ii.Hence state the equations of the tangents to x^2 = 4y passing through (2,-3)
I'm sorry if this a lot, but I really have no clue on how to do these - I don't even know how I'm in Extension 1
1. Find the point of intersection of the tangents to the curve x^2 = 12y at (-6,3) and (2, 1/3)
2. The chord of contact of two tangents drawn from an external point P to the parabola x^2 =8y has equation x + 2y -3 = 0. Find the coordinates of P.
3. Given the equation of the normal x+py = 2ap +ap^3, find the points where the tangent intersects the coordinate axes.
4i. The tangent to x^2 =4y at the point (2t, t^2) is y= tx -t^2. If the tangent passes through the point (2,-3), find values of t.
4ii.Hence state the equations of the tangents to x^2 = 4y passing through (2,-3)
I'm sorry if this a lot, but I really have no clue on how to do these - I don't even know how I'm in Extension 1