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If the normal to the parabola y^2=4ax at (1,2) make an angle with positive direction to x-axis, find angle in radian

If the normal to the parabola y^2=4ax at (1,2) make an angle with positive direction to x-axis, find angle in radian

Grade:12

1 Answers

Vikas TU
14149 Points
5 years ago
normal to the parabola y^2=4ax is given as:
y = mx – 2am -am^3
and its foot is given as: ( am^2 ,-2am)
where m = slope of the tangent .
Comparing with points, 
am^2 = 1  and -2am = 2
m1 =+1/roota and m3= -1/roota   and m2 = -1/a 
m3 got cancelled out as m > 0

tan(thetha) = |m1-m2/||1+ m1m2|

now only u have to substitute the values.

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