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If a,b,c are in A.P., then 10^(ax+10),1...

If a,b,c are in A.P., then `10^(ax+10),10^(bx+10)`,10^(ex +10)` are in -

A

A.P

B

G.P only when `x gt0`

C

G.P for all x

D

G.P only when `x lt0`

Text Solution

Verified by Experts

The correct Answer is:
3
We have : `2bx = ax + cx`
`2(bx + 10) =(ax + 10) + (cx + 10)`
`10^(2(bx + 10)) = 10 ^((ax + 10)+(cx+10))`
`(10^(bx + 10))^(2) = (10^(ax+10)).(10^(cx +10))`
i.e., Number are in G.P
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State True or False : (10+10)^(10)=10^(10)+10^(10)

Ex-1 Q 01 to 10

CAREER POINT-MOCK TEST 7-PART (B) - CHEMISTRY
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  4. The number of irrational terms in the expansion of (2^(1//5) + 3^(1/...

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  5. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

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  6. Ther period of the function f(x) =(|sin x|-|cosx|)/(|sin x + cos x|...

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  7. The lines 2x + y -1=0, ax+ 3y-3=0 and 3x + 2y -2=0 are concurrent for ...

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  8. The coordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a...

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  9. If a,b,c are in A.P., then 10^(ax+10),10^(bx+10),10^(ex +10) are in -

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  10. The position vectors of the points A, B, and C are hati + hatj + h...

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  11. Let hata,hatb and hatc be unit vectors and alpha, beta, and gamma the...

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  14. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

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  15. If x = - 1 and x =2 are exterme points of the function y=a log x + b...

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  16. adj- [{:( 1,0,2),(-1,1,-2),(0,2,1):}]=[{:(5,a,-2),(1,1,0),(-2,-2,b):}]...

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  17. If (X) = f(X), f(0) = 1 then int (dx)/(f(x) + f(-x))=

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  18. If f(x) is a polynomial satiysfying f(x) =(1)/(2) |{:(f(x),f((1)/(...

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  19. The solution the differential equation "cos x sin y dx" + "sin x c...

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  20. If x^(2) - x+ 1 =0, sum(n=1)^(5) (x^(n) +(1)/(x^(n)))^2 equals -

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