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Let f:RtoR is given by f(x)={(p+qx+x^(2...

Let `f:RtoR` is given by
`f(x)={(p+qx+x^(2),xlt2),(2px+3qx^(2),xge2):}` then:

A

f (x) is continous in R if `3p + 10q =4`

B

f (x) is differentiable in R if `p=q= (4)/(13)`

C

If `p=-2,q=1,` then f(x) is continuos in R

D

f (x) is differentiable in R if `1p + 11q =4`

Text Solution

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The correct Answer is:
A, B, C
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VIKAS GUPTA (BLACK BOOK)-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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