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Grade 11Analytical Geometry

Find equation tangent to parabola y^2=4x whose intercept on y axis is 2

Profile image of Aditya Dwivedi
8 Years agoGrade 11
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer8 Years ago
Dear Aditya
In y² = 4x, a = 1
 
Tangent to parabola
y = mx + (a/m)
 
But a/m = 2
a = 1
m = ½
Now
Tangent equation will be
Y = (1/2)x + 2
2y = x +4
 
Regards
Arun (askIITians forum expert)