Answer:
The answer is A.
Step-by-step explanation:
(-10m^4n^7)(-3m^4n)
= -10*-3 m^4*m^4 * n^7* n^1
= 30m^8n^8
In the figure assume that the circle are mutually tangent and that the circle with centre at A has radius 1. The lines AB and AC are tangent to the circle with centre O at B and C respectively. If the area of the shaded region is π/4, the radius of the circle centered
Let, ∠CAB=θ
Then, area of sector,
360
θ
π(1)
2
=
4
π
θ=90
∘
Now, the line joining the centre of the circle bisects the angle formed between two tangets, hence, ∠CAO=45
∘
Now, In △AOC
∠ACO=90
∘
(Angle between the tangent and the radius)
sin45=
AO
OC
2
1
=
r+1
r
r+1=r
2
r=
2
−1
1
(Rationalizing)
r=
2
+1
Step-by-step explanation:
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