Home
Class 12
MATHS
Below are four equations in x. Assume th...

Below are four equations in x. Assume that ` 0 lt r lt 4`. Which of the following has the largest solution for x ?

A

`5(1+r/pi)^(x)=9`

B

`5(1+r/17)^(x)=9`

C

`5(1+2r)^(x)=9`

D

`5(1+1/r)^(x)=9`

Text Solution

Verified by Experts

The correct Answer is:
B

Given ` 0 lt r lt 4`
in the given options
` ("Base')^(x)=9/5`
for largest value of x, base should be minimum.
`:. " in option B base "(1+r/17)" is minimum for "0 lt r lt 4`.
Promotional Banner

Similar Questions

Explore conceptually related problems

If 0 lt x lt 5 and 1 lt y lt 2 , then which of the following is true ?

If 0 lt x lty lt pi ,then which one of the following is correct?

For the real numbers p, q, r, x, y, let p lt x lt q and p lt y lt r . Which one of the following is correct ?

Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f(0)=f(1)=0 and satisfies f\'\'(x)-2f\'(x)+f(x) ge e^x, x in [0,1] If the function e^(-x)f(x) assumes its minimum in the interval [0,1] at x=1/4 , which of the following is true? (A) f\'(x) lt f(x), 1/4 lt x lt 3/4 (B) f\'(x) gt f(x), 0 ltxlt1/4 (C) f\'(x) lt f(x), 0 lt x lt 1/4 (D) f\'(x) lt f(x), 3/4 lt x lt 1

The function f(x)={{:(,(x^(2))/(a),0 le x lt 1),(,a,1le x lt sqrt2),(,(2b^(2)-4b)/(x^(2)),sqrt2 le x lt oo):} is a continuous for 0 le x lt oo . Then which of the following statements is correct?

Find the solution set of (1)/(2x -4) lt 0

If 0 lt x lt 45^(@) and 45^(@) lt y lt 90^(@) , then which one of the following is correct ?