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If the tangent at any point on the curve `x^4 + y^4 = c^4` cuts off intercepts a and b on the coordinate axes, the value of `a^(-4/3)+b^(-4/3)` is

A

`a^(-4//3)`

B

`a^(-1//2)`

C

`a^(1//2)`

D

none of these

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  5. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

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  8. The normal to the circle x^(2) + y^(2) -2x -2y = 0 passing through (2,...

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  9. If f(x ) = x "for" x le 0 =0 "for " x gt 0 then f(x) at x=...

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  11. Let f(x) = 6x^(4//3) - 3x^(1//3) defined on [-1,1] then

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  12. An equation of tangent line at an inflection point of f(x) = x^(4) - 6...

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  13. The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 i...

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  14. Let f(x) =(x -2) (x^(4) -4x^(3) + 6x^(2) - 4x +1) then value of local ...

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  15. Let f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2] then

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  16. The function f(x)=|x-1|/x^2 is

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  17. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

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  18. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

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  19. Let f(x) = x^(2) + px +q. The value of(p, q) so that f(1) =3 is an ext...

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