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Grade: 11 
        
the number of normals to a parabola y^2 = 8x through (2,1) is
3 years ago

Answers : (1)

Harsh Patodia
IIT Roorkee
askIITians Faculty
906 Points 
							
Equation of normal
y = mx – 2am – am3 here a= 2 from parabola
​Passes through (2,1)
1= 2m – ​4m – ​2m​3
2m​3 ​+ 2m + 1 =0
Derivate of above function is 6m​2+ 2 which is always positive so thiswill be increasingfunction. So it will have only one root.
So onenormal.​
3 years ago
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