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Let f(x)=a^(x)(a gt 0) be written as f(x...

Let `f(x)=a^(x)(a gt 0)` be written as `f(x)=g(x)+h(x)` where g(x) is an even function and h(x) is an odd function. Then the value of `g(x+y)+g(x-y)` is -

A

g(x)h(x)

B

2g(x)

C

2g(x)g(y)

D

`2g(x+y)g(x-y)`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
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  2. The direction cosines of the line (x+3)/(2)=(2y-3)/(-3)=(z-1)/(0) are...

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  3. Let f(x)=a^(x)(a gt 0) be written as f(x)=g(x)+h(x) where g(x) is an e...

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  4. The area of the parallelogram formed by the vectors 3hati-2hatj+hatk ...

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  5. If veca=2hati-5hatj+4hatk and vecb=hati-4hatj+6hatk, then a unit v...

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  6. If veca+vecb+vec c=vec0 and |veca|=3,|vecb|=5 and |vec c|=7, then the ...

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  7. If vec alpha, vec beta, vecgamma be three unit vectors such that |ve...

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  8. If veca=2hati+5hatj+7hatk and vecb=hati-hatj+5hatk, then the vecor co...

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  9. The image of the point (-3, 5, 2) in the plane 2x-y+z+3=0 is -

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  10. The equation of the plane passing through the points (1, -1, 2) and (2...

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  11. The values of x, at which the first derivative of the function (x+(1)...

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  12. If f(x)=sin3x cos4x, then the value of f''((pi)/(2)) is -

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  13. Let f(x) be a differentiable even function, consider the following sta...

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  14. If y=x+x^(2)+x^(3)+…oo where |x| lt 1, then for |y| lt 1 the value of...

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  15. Find which function does not obey mean value theorem in [0, 1] -

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  16. The derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2)) " at...

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  17. The derivative of the function f(x)=log(5)(log(7)x)[x gt 7] is -

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  18. If 2y=(x-a)sqrt(2ax-x^(2))+a^(2)"sin"^(-1)(x-a)/(a), then the value of...

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  19. The value of lim(x to 0)(1+3x)^((x+2)/(x)) is -

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