A helicopter is flying along the curve given by y−x3/2 =7, (xA soldier positioned at the point wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is : |
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(a) |
(b) |
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(c) |
(d) |
A helicopter is flying along the curve given by y−x3/2 =7, (xA soldier positioned at the point wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is : |
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(a) |
(b) |
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(c) |
(d) |
y−x3/2=7(x
x1/2
=−1
x2=−x
3x2=1−2x
3x2+2x−1=0
3x2+3x−x−1=0
(x+1)(3x−1)=0
∴x=−1(rejected)
x=
y=7+x3/2=7+
AB= =
=
==
Option(c)