ParabolaHard
Question
The angle between normal chords of a parabola which subtend right angle at the vertex is tan-1 k, then k is
Options
A.√2
B.2
C.2√2
D.4
Solution
t2 = - t1 - 
, also t1t22 = - 4
⇒ - 4 = - t12 - 2 ⇒ t12 = 2 ⇒ t1 = ± √2
Slope of normal chord become
m1 = √2, m2 = - √2
tan θ = | - 2√2| ⇒ θ = tan-1|2√2|
, also t1t22 = - 4⇒ - 4 = - t12 - 2 ⇒ t12 = 2 ⇒ t1 = ± √2
Slope of normal chord become
m1 = √2, m2 = - √2
tan θ = | - 2√2| ⇒ θ = tan-1|2√2|
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