Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Coordinate Geometry
0 votes

Find the conditions for a co-normal point (h,k) of a parabola $y^2=4ax$

$\begin{array}{1 1}(a)\;m_1+m_2+m_3=0\\(b)\;m_1m_2+m_2m_3+m_3m_1=\large\frac{2a-h}{a}\\(c)\;m_1m_2m_3=\large\frac{-k}{a}\\(d)\;\text{All of these}\end{array}$

Can you answer this question?

1 Answer

0 votes
P(h,k) for a parabola $y^2=4ax$ is a co-normal point.
We know that for a parabola $y^2=4ax$ normal is given by
(h,k) will satisfy the equation.
This is cubic in m,so it has three roots $m_1,m_2,m_3$
$\therefore m_1+m_2+m_3=0$-----(1)
equation(1),(2)&(3) are the three conditions.
Hence (d) is the correct answer.
answered Feb 5, 2014 by sreemathi.v
edited Sep 23, 2014 by sharmaaparna1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App