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If `f` is twice differentiable such that `f^(x)=-f(x)` and `f^(prime)(x)=g(x)dot` If `h(x)` is twice differentiable function such that `h^(prime)(x)=(f(x))^2+(g(x))^2dot` If `h(0)=2,h(1)=4,` then the equation `y=h(x)` represents a curve of degree 2 a curve passing through the origin a straight line with slope 2 a straight line with `y` intercept equal to 2.

A

a curve of degree 2

B

a curve passing through the origin

C

a straight line with slope 2

D

a straight line with y intercept equal to 2.

Text Solution

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The correct Answer is:
C, D
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