Find the co-efficient of t. in 3x27x12. .
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Answer:
\huge \green{y = 14 \: \: or \: \: - 2}y=14or−2
Step-by-step explanation:
Let the required point be ( 0 , y ) . Note that x coordinate will be zero because point lies on y axis. Now this point is at distance 10 from ( 6 ,6 )
, so use distance formula
\begin{gathered} \sqrt{(0 - 6) {}^{2} + (y - 6) {}^{2} } = 10 \\ \\ \implies 36 + (y - 6) {}^{2} = 100 \\ \\ \implies (y - 6) {}^{2} = 100 - 36 = 64 \\ \\ \implies y - 6 = \sqrt{64} = \pm8 \\ \\ y = 6 + 8 \: \: or\: \: 6 - 8 \\ \\ y = 14 \: \: \: or \: \: - 2\end{gathered}
(0−6)
2
+(y−6)
2
=10
⟹36+(y−6)
2
=100
⟹(y−6)
2
=100−36=64
⟹y−6=
64
=±8
y=6+8or6−8
y=14or−2
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