Question

Two tangents are drawn from a point (– 4, 3) to the parabola y2 = 16x. If α is the angle between them, then the value of cosα is Zero

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given parabola y2=4x

Let the equation of tangent to the parabola be

y=mx+m1 

Since, P(-2,-1) lies on this line

−1=−2m+m1 

⇒2m2−m−1=0

⇒m=1,−21

Let m1=1 ,m2=−21

Now, ∣tanα∣=∣1+m1m2m1−m2∣

⇒∣tanα∣=3

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