If 1-3 x1-2-1-x5-3-4-x is approximately equal toa-b x for small values of x- then a- b-

The correct option is B (1 3x)^1/2+(1 x)^5/3/2[1 x/4]^1/2 1/2 [ nbsp;(1 3/2x)+(1 5x/3) ] (1 x/8 ) 1/2 [ nbsp;2 19/6x] ](1 x/8) =1/2 [ nbsp;2 (1/4+1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Mathematics

Properties of Cube Root of a Complex Number

If 1-3 x1/2+1...

Question

If $\frac{(1 - 3 x)^{\frac{1}{2}} + (1 - x)^{\frac{5}{3}}}{\sqrt{4 - x}}$ is approximately equal to

a + bx for small values of x, then (a, b) =

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B

$\frac{(1 - 3 x)^{1 / 2} + (1 - x)^{5 / 3}}{2 [1 - \frac{x}{4}]^{1 / 2}} \frac{1}{2} [(1 - \frac{3}{2} x) + (1 - \frac{5 x}{3})] (1 - \frac{x}{8}) \frac{1}{2} [2 - \frac{19}{6} x]] (1 - \frac{x}{8}) = \frac{1}{2} [2 - (\frac{1}{4} + \frac{19}{6}) x] = 1 - \frac{35}{24} x ∴ (a, b) = (1, - \frac{35}{24})$

Suggest Corrections

Similar questions

If $\frac{(1 - 3 x)^{\frac{1}{2}} + (1 - x)^{\frac{5}{3}}}{\sqrt{4 - x}}$ is approximately equal to a + bx for small values of x, then (a, b) =

Q. If

\frac{(1 - 3 x)^{\frac{1}{2}} + (1 - x)^{\frac{5}{3}}}{2}

is approximately equal to a + bx for small values of x, then (a, b) =

If the function f(x) = $x^{4} + b x^{2} + 8 x + 1$ has a horizontal tangent and a point of inflection for the same value of x, then the value of b is equal to

Q. If

f (x) = \sqrt{x^{2} + 6 x + 9}

, then f '(x) is equal to

Q. If the real valued function

f (x) = \frac{a^{x} - 1}{x^{n} (a^{x} + 1)}

is even, then

n

is equal to

Join BYJU'S Learning Program

If (1−3x)12+(1−x)53√4−x is approximately equal to a + bx for small values of x, then (a, b) =

The correct option is B (1−3x)1/2+(1−x)5/32[1−x4]1/212[(1−32x)+(1−5x3)](1−x8)12[2−196x]](1−x8)=12[2−(14+196)x]=1−3524x∴(a,b)=(1,−3524)

If $\frac{(1 - 3 x)^{\frac{1}{2}} + (1 - x)^{\frac{5}{3}}}{\sqrt{4 - x}}$ is approximately equal to

a + bx for small values of x, then (a, b) =