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If f(x) {:(=px-q", if " x le 1 ),(=...

If f(x) ` {:(=px-q", if " x le 1 ),(= 3x ", if " 1 lt x lt 2 ), (= qx^(2)-p ", if " x ge 2 ):} `
is continuous at x = 1 and dicontinuous at x = 2 , then

A

`p=-3`

B

`p+q =3`

C

`p-q =3,q=3`

D

`p-q =3, p!= 6`

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The correct Answer is:
d
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
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  2. f(x) {:(=(x^(2))/2" , if " 0 le x lt 1 ),(= ...

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  3. If f(x) {:(=px-q", if " x le 1 ),(= 3x ", if " 1 lt x l...

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  4. Given f(x){:(= (sin [(2k-3)x])/(4x)", if " x lt0), (= k+1", ...

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  5. The value of f(0) so that f(x) = ((4^(x)-1)^(3))/(sin(x/4)log(1+(x^(...

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  6. lim(x to 0) (|x|)/x =

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  7. If f(x) {:( (1-cos(10x))/(x^(2)) ", if " x lt 0 ),(= a ...

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  8. If f(x) {:(=(log (1+3x )-log(1-2x))/x", if " x != 0 ),(=a", ...

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  9. If f(x) {:(=ax^(2)+b", if " 0 le x lt 1 ),(=x+3 ", if " 1 lt x...

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  10. If f(t) = 1/(t^(2)-t-6) and t = 1/(x-2) then the values of x which ma...

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  11. The value of f(0) that the function f(x) = ( root3 (1+x)-root 4 (...

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  12. The function f(x) = (x^(3)+x^(2)-16x+20)/(x-2) is not defined at x = 2...

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  13. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

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  14. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

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  15. If f(x) {:( =(x-|x|)/x", ... " x!=0 ),(=2", ... " x...

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  16. If f(x) is continuous and f(9/2)=2/9 , then : lim(x to 0) f((1-cos 3x...

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  17. If f(x) = 1/(1-x), then the points of dicontinuity of the composite...

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  18. Value of f(pi/4) so that the function f(x) = (tan(pi/4-x))/(cot 2x), ...

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  19. If the function f(x) {:(=5x-4", ... "0 lt x le 1 ), (=4x^(2)+...

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  20. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

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