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If y = f(x) defined parametrically by `x = 2t - |t - 1| and y = 2t^(2) + t|t|`, then
(a)f(x) is continuous for all `x in R`
(b)f(x) is continuous for all `x in R - {2}`
(c)f(x) is differentiable for all `x in R`
(d)f(x) is differentiable for all `x in R - {2}`

A

(a)f(x) is continuous for all `x in R`

B

(b)f(x) is continuous for all `x in R - {2}`

C

(c)f(x) is differentiable for all `x in R`

D

(d)f(x) is differentiable for all `x in R - {2}`

Text Solution

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The correct Answer is:
A, D
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  6. Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R. a. ...

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  17. Which of the following functions is differentiable at x = 0 ?

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  19. If the function g(X) ={{:( ksqrt ( x+1), 0 le x le 3),( mx+2, 3 lt x...

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  20. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

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