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f(x) = {:{(3x-8,"if"x le 5),(2k," if"x g...

`f(x) = {:{(3x-8,"if"x le 5),(2k," if"x gt 5):}`

A

`2/7`

B

`3/7`

C

`4/7`

D

`7/2`

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-MOCK TEST PAPER -III-SELECT THE CORRECT ANSWER
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  2. The function f(x) = [x] where [x] is the greatest integer function is ...

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  3. f(x) = {:{(3x-8,"if"x le 5),(2k," if"x gt 5):}

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  4. If x+y=tan^(-1)y and (d^(2)y)/(dx^(2))=f(y)(dy)/(dx) then f(y)=

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  5. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

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  6. If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is

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  7. If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...

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  8. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

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  9. The maximum area of rectangle that can be inscribed in a circle of rad...

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  10. A stone is dropped into a quiet lake and waves in circles at the speed...

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  11. A gardener is digging a plot of land. As he gets tired, he works more ...

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  12. If f(x)=x^(3) and g(x)=x^(3)-4x in -2ltxlt2 then consider the statem...

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  13. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

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  14. in (sin^(2)x)/(1+cos x) dx=

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  15. int e^(x)(1+sin x)/(1+cos x) dx is equal to

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  16. The value of int(-1)^(2)(|x|)/(x) dx is

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  17. int(0)^(pi/2)(cos^(4)x)/(cos^(4)x+sin^(4)x) dx =

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  18. The area bounded by the curve y= sin((x)/(3)), x-axis and lines x=0 an...

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  19. The particular solution of (y)/(x)(dy)/(dx)=(1+y^(2))/(1+x^(2)) when x...

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  20. The solution of the differential equation (dy)/(dx)=(x+y)^(2) is

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