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Grade: 12
Is the equation for tangent to x²=4ay i.e. x=my+a/m valid ?
Or the equation for tangent is y=mx+am²
Please clear my dilemma. 
2 months ago

Answers : (2)

Saurabh Koranglekar
askIITians Faculty
6641 Points
							Dear student

As a part of standard notation 1st equation is considered, however it can be expressed in the form as mentioned in 2nd equation. I hope it helps kindly reply if doubt still persists in this regard

2 months ago
24490 Points
Dear student
Always change x and y in place of each other only in case of when parameter is used.
In y² = 4ax , tangent is: ty = x + at²
So for x² = 4ay, tangent is tx = y +at²
Now for tangent of slope m. 
In y² = 4ax
m should be 1/t
Hence t = 1/m
So put t = 1/m in the tangent equation
Similarly for x² = 4ay
t should be m
Hence put t = m in second tangent equation
mx = y + am²
Hence y = mx - am²
Hope it helps
2 months ago
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