Question

How to find the angle between two intersecting parabolas at agiven point

Answer 1

Heya!!

ANGLE BETWEEN INTERSECTION OF TWO PARABOLAS CAN BE CALCULATED AS

Let Theta be the angle between intersection of two parabolas
______________________________

Step 1 :-

Draw two tangents at the point of intersection of two parabolas.

Now, Angle between intersection of two parabolas is equal to angle between their tangents.

Step 2:-

Find out slope of two tangents .

Slope of two tangents can be calculated by Differentiating the two curves respectively.

Step 3 :- Find the co-ordinates of a point formed by intersection of two parabolas by using given conditions in given question.

Step 4:- Angle between intersection of two parabolas at a given point is =

Tan ( Theta ) =

Slope of 2nd curve - slope of ist curve
_____________________________
1+Slope of ist curve × Slope of 2nd curve