Two parabolas with a common vertex and with axes along x-axis and y-axis, respectively, intersect each other in the first quadrant. If the length of the latus rectum of each parabola is 3, then the equation of the common tangent to the two parabolas is :
As we learned
Length of the latus rectum -
- wherein
For the parabola.
Equation of tangent -
- wherein
Tengent to is slope form.
Common tangent of
On solving
We get
Option 1)
Option 2)
Option 3)
Option 4)
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