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Q.

The number of normals drawn to the parabola y2=4x from the point (1, 0) is

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a

2

b

1

c

0

d

3

answer is B.

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Detailed Solution

Given parabola y2=4x a=1

Equation of normal to given parabola is 

y=mx-2am-am3 If it passes through the point (1,0) then 0=m-2m-m3 m3+m=0 m(m2+1)=0 m=0, m2+1=0

it has only one real root.

 Number of normals = 1

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