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The curve x+y-log(e)(x+y)=2x+5 has a ver...

The curve `x+y-log_(e)(x+y)=2x+5` has a vertical tangent at the point `(alpha, beta).` then `alpha+beta` is equal to

A

`-1`

B

1

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
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  4. Let y = f(x), f : R ->R be an odd differentiable function such that f'...

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  5. A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R, if f...

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  6. Let a curve y=f(x),f(x)ge0, AA x in R has property that for every poin...

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  7. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx ...

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  8. Let f(x)=|(1,1,1),(3x-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1...

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  9. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

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  10. In which of the following functions is Rolles theorem applicable? (a)f...

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  11. The figure shows a right triangle with its hypotenuse OB along the y-a...

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  12. Number of positive integral value(s) of a for which the curve y=a^(x) ...

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  13. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

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  14. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

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  15. Coffee is coming out from a conical filter, with height and diameter b...

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  16. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

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  17. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

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  18. Let f(x)=x^3-3x^2+2x Find f'(x)

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  19. The Curve possessing the property that the intercept made by the tange...

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  20. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

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