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f(x) = (2x^(2) + 3)/(5), for oo lt x le ...

`f(x) = (2x^(2) + 3)/(5)`, for `oo lt x le 1`
`= 6 -5x`, for `1 lt x lt 3`
`= x-3`, for `3 le x lt 8`, then

A

`f` is continuous at `x=1, x=3`

B

`f` is discontinuous at `x=1, x=3`

C

`f` is continuous at `x=1`, discontinuous at `x=3`

D

`f` is discontinuous at `x =1`, continuous at `x=6`.

Text Solution

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The correct Answer is:
C
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 3-(MATHEMATICS)
  1. The value of underset(x to 0)(lim) e^(-4) ((1-x)/(1-x))^(1//x) is equa...

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  2. underset(x to 0)(lim) (5^(x) + 4^(x) - 2^(x) -1)/(5x) is equal to

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  3. f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 ...

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  4. (d)/(dx) [ 2 cot^(-1) ((sqrt(1+ sin x) + sqrt(1-sin x))/(sqrt(1+ sin x...

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  5. If x^(logx ) = y^(x) and (dy)/(dx) = (2y log x+ k log y)/(x^(2)), then...

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  6. The value of differentiation of tan^(-1)x with respect to tan^(-1) ((s...

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  7. The sub normals at any point of the curve y = x^(n) is constant. Then ...

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  8. The percentage increase in the volume of the cube when its side increa...

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  9. The period T and length l are increasing at the same rate is T = 2pi s...

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  10. int (dt)/((e^(t) + e^(-t))^(2)) =

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  11. int e^(t) ((t)/(1+t^2))dt=

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  12. int 9^(9^(9^(x))) dx is equal to

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  13. int (dx)/(cos (x -a) cos (x-b) )= (1)/(p) log q, then (p, q)=

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  14. Area of the region bounded by the curves y = sqrt(5 - x^(2)) and y = |...

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  15. underset ( x to oo) (lim) underset(r=1)overset(n-1) (sum) sqrt((n+r)/(...

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  16. If bar(a) = 3 overset(^)(i) + 2 overset(^)(j), bar(b) = 2 overset(^)(i...

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  17. The projection of the vector overset(^)(i) - 2 overset(^)(j) + overse...

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  18. If theta is the angle between the vectors overset(^)(i) + overset(^)(j...

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  19. The non-zero vectors bar(a) , bar(b) , bar(c ) holds | (bar(a) .bar(b...

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  20. If bar(a) = overset(^)(i) + overset(^)(j) - overset(^)(k), bar(b) = 2 ...

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