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If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",...

If `f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3x-2,",","for" 0 le x le1):}`

A

`-1`

B

`-2`

C

`-3`

D

`-4`

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The correct Answer is:
B
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If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x-1), "if" 0 le x le1):} is continuous at x = 0, then the value of k is

If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2)",", 0 le x le 1):} is continuous in [-1,1] then p is equal to

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If f(x) {: (=(sqrt(1+px) - sqrt(1- px))/x", if "-1/2 le x lt 0 ),(= 3x^(2) + 2x - 2 ", if " 0 le x lt 1 ):} is continuous on its domain , then : p =

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EDUCART PUBLICATION-SAMPLE PAPER 6 -SECTION -B
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  2. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3...

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  3. The carner points of the feasible region formed by the system of linea...

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  4. If the matrix [{:(1,2,x),(1,1,1),(2,1,-1):}] is singular , then the va...

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  5. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

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  6. The relation R in the set A be defined as R={(a,b)aleb} , then , R is ...

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  7. If normal to the curve x^(2)+y^(2)-2x-3=0 is parallel to the y-axis ,t...

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  8. The function f defined by f(x)=(4sinx-2x-xcosx)/(2+cosx),0lexle2pi is ...

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  9. The derivative of sin^(2)x with respect to e^(cosx) is :

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  10. If x=sint and y=cos2t, then (dy)/(dx) =

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  11. find the least value of a such that the function x^2+ax+1 is strictly ...

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  12. If set A has 3 elements and the set B has 5 elements , then , the numb...

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  13. If C(ij) denotes the cofactor of the elements a(ij) of the determinant...

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  14. The derivative of sqrt(secsqrt(x)) with respect to x , is :

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  15. If A=[{:(1,-3),(2,-1):}]andA^(3)-6A^(2)+5A+6l=O, then the value of A^(...

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  16. The corner points of the feasible region determined by a system of lin...

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  17. If |{:(4,1),(2,1):}|^(2)=|{:(3,2),(1,x):}|-|{:(x,3),(-2,1):}|, then th...

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