if a chord 4y=3x-48 subtends an angle theta at the vertex of the parabola y^2=64x then tan theta= - Maths - Permutations and Combinations

Question

if a chord 4y=3x-48 subtends an angle theta at the vertex of the
parabola y^2=64x then tan theta=?

Harsh Manoor · Answer

y^2=64x ; a=16 ;parametric equations are x=at^2=16t^2 ;y=2at=32t
Substituting in the equation of chord
128t=48t^2–48→3t^2–8t−3=0→t=3or−13
slopes of lines joining (0,0) to intersection points are m=yx=2t
m1=13;m2=−6 tanθ=|m1−m2/1+m1m2|=20/9 249 Views
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if a chord 4y=3x-48 subtends an angle theta at the vertex of the parabola y^2=64x then tan theta=?