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If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$ the value of x is?
Answer & Solution
Correct Answer:
Option
B
$$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2$$
Put value of x from options
$$\eqalign{ & x = 1 \cr & \sin \frac{\pi }{2} \times 1 = {1^2} - 2 \times 1 + 2 \cr & \Rightarrow \sin {90^ \circ } = 1 - 2 + 2 \cr & \Rightarrow 1 = 1 \cr} $$
Put value of x from options
$$\eqalign{ & x = 1 \cr & \sin \frac{\pi }{2} \times 1 = {1^2} - 2 \times 1 + 2 \cr & \Rightarrow \sin {90^ \circ } = 1 - 2 + 2 \cr & \Rightarrow 1 = 1 \cr} $$
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