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Grade 12Analytical Geometry

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.

Question image for Is the equation for tangent to x²=4ay i.e. x=my+a
Profile image of VISHWANATH SINHA
6 Years agoGrade 12
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2 Answers

Profile image of Saurabh Koranglekar
6 Years ago
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

Regards
Profile image of Arun
6 Years ago
Dear student
 
Always change x and y in place of each other only in case of when parameter is used.
Means
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

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