varun_kanpur
New member
- Joined
- May 21, 2013
- Messages
- 13
I am not able to solve the following problem
#1) Prove that the normal to parabola y2=4ax at (am2,-2am) intersects the parabola again at an angle tan-1(m/2)
What I am thinking is to solve the equation of parabola and equation of normal y=mx-am-3-2am simultaneously and at that point I will find the slope of tangent and will get the angle between tangent and normal. The problem is that answer is not coming.
#2) For what values of a will the tangents drawn to parabola y2=4ax from a point , not on the y-axis, will be normals to the parabola x2=4y?
I have no idea on how to solve this question
Thanks in Advance
#1) Prove that the normal to parabola y2=4ax at (am2,-2am) intersects the parabola again at an angle tan-1(m/2)
What I am thinking is to solve the equation of parabola and equation of normal y=mx-am-3-2am simultaneously and at that point I will find the slope of tangent and will get the angle between tangent and normal. The problem is that answer is not coming.
#2) For what values of a will the tangents drawn to parabola y2=4ax from a point , not on the y-axis, will be normals to the parabola x2=4y?
I have no idea on how to solve this question
Thanks in Advance