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Choose the incorrect pair :...

Choose the incorrect pair :

A

` sin x " " x in R `

B

` cos x " " x in R `

C

`log x " " x gt 0 `

D

`e^(-x) " " x gt 0 `

Text Solution

Verified by Experts

The correct Answer is:
Hint: ` e^(-x) ` can be defined in ` RR(4) e^(-x) ;x gt 0 `
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SURA PUBLICATION-SURAS MODAL QUESTION PAPER-1 MATHEMATICS -Section-IV
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  4. By the principle of mathematical induction , prove that for n ge 1

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  5. By the principle of mathematical induction, prove that, for nge1 1^(3)...

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  6. Find the sum up to the 17^(th) term of the series (1^3)/(1) + (1^3 + 2...

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  7. A ray of light coming from the point (1,2) is reflected at a point A o...

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  8. Solve |(4-x,4+x,4+x),(4+x,4-x,4+x),(4+x,4+x,4-x)|=0

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  9. Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...

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  10. Show that the following vectors are co-planar (ii) 5hati+6hatj+7hatk,7...

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  11. Examine the continuity of the following : x + sinx

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  12. Examine the continuity of the following: x^2 cos x

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  13. Examine the continuity of the following: e^x tan x

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  14. Examine the continuity of the following: e^(2x)+x^2

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  15. Examine the continuity of the following: x. ln x

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  16. Find the derivative with tan^(-1) ((sinx )/(1 + cos x)) with respect t...

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  17. (1)/(sqrt(x+3)-sqrt(x-4))

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  18. A firm manufactures PVC pipes in three plants viz, X,Y and Z. The dail...

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  19. A firm manufactures PVC pipes in three plants viz, X ,Y and Z . The de...

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  20. Evaluate int (x^(2) + 5x + 3)/(x^(2) + 3x + 2) dx

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