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Common tagent (s) to y=x^(3)and x=y^(3) ...

Common tagent (s) to `y=x^(3)and x=y^(3)` is/are

A

`x-y =(1)/(sqrt3)`

B

`x-y =-(1)/(sqrt3)`

C

`x-y =(2)/(3 sqrt3)`

D

`x-y =(-2)/( 3 sqrt3)`

Text Solution

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The correct Answer is:
C, D
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VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
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  3. If f (x)= {{:(sin ^(-1) (sin x) , x gt 0),( (pi)/(2), x = 0), (cos ^(-...

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  4. A function f :R to R is given by f (x) = {{:(x ^(4) (2+ sin ""(1)/(x))...

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  5. If f ''(x)|le 1 AA x in R, and f (0) =0=f' (0), then which of the fol...

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  6. Let f : [-3, 4] to R such that f ''(x) gt 0 for all x in [-,4], then w...

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  7. Let f (x) be twice differentialbe function such that f'' (x) gt 0 in [...

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  8. Let g (x) be a cubic polnomial having local maximum at x=-1 and g '(x)...

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  9. Let S be the set of real values of parameter lambda for which the eq...

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  10. The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

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  11. Let m and n be positive integers and x,y gt 0 and x+y =k, where k is c...

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  12. The staright line which is both tangent and normal to the curve x = 3t...

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  13. A curve is such that the ratio of the subnormal at any point to the su...

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  14. A probola of the form y = ax ^(2) +bx +x (a gt 0) intersects the graph...

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  15. Gradient of the line passing through the point (2,8) and touching the ...

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  16. The equation x + cos x=a has exactly one positive root, then:

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  17. Given that f (x) is a non-constant linear function. Then the curves :

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  18. d (x) = int (0) ^(x) e ^(t ^(3)) (t ^(2) -1) (t+1) ^(2011) at (x gt 0)...

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  19. Let f(x)=sinx+a x+bdot Then which of the following is/are true? (a) f(...

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  20. Which of the following graphs represent function whose derivatives hav...

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