Consider Continuous time system y(t) = x(t) - . For the system to be linear response ax1(t) + bx2(t) should be ay1(t) + by2(t) with relation between constant 'a' and 'b' as __________ .-A-a + b = 2B-a x b = 1C-a = bD-a + b = 1-D-a + b = 1

Question

Consider Continuous time system y(t) =  x(t) -  . For the system to be linear response ax1(t) + bx2(t) should be ay1(t) + by2(t) with relation between constant 'a' and 'b' as __________ .-A-a + b = 2B-a x b = 1C-a = bD-a + b = 1-D-a + b = 1

APTITUDE CRACK · Accepted Answer

D a + b = 1  Let ax1(t) + bx2(t) = m(t) where m(t) is new input which causes the output n(t) n(t) = m(t) n(t) = {ax1(t) + bx2(t)} add and subtract n(t) = x1(t) a + x2(t) b +a +b n(t) = +{a + b 1} n(t) = ay1(t) + by2(t) +{a + b 1} For linearity, n(t) = ay1(t) + by2(t) ∴ {a + b 1} = 0 ∴ a + b = 1.

Exam Questions Papers - Engineering

Consider Continuous time system y(t) = x(t) - . For the system to be linear response ax₁(t) + bx₂(t) should be ay₁(t) + by₂(t) with relation between constant 'a' and 'b' as __________ .

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Exam Questions Papers - Engineering

Consider Continuous time system y(t) = x(t) - . For the system to be linear response ax1(t) + bx2(t) should be ay1(t) + by2(t) with relation between constant 'a' and 'b' as __________ .

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Consider Continuous time system y(t) = x(t) - . For the system to be linear response ax₁(t) + bx₂(t) should be ay₁(t) + by₂(t) with relation between constant 'a' and 'b' as __________ .

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