wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let t1 and t2 be the parameters of 2 points on a parabola. What is the value of t1t2 if tangents at these points are at right angle to each other?
___

Open in App
Solution

We are given the parameters of the 2 points A and B.

Also given taht the tangents at these points make 90 with each other.

This implies that the product of slopes is -1.

slopes of tangent at A=(at21,2at1)=2at1at21=2t1

Similarly slope at B=2t2

2t1.2t2=1

i.e., t1.t2=1


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Line and a Parabola
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon