Find the condition if the equation 3x^2+...

Find the condition if the equation `3x^2+4a x+b=0` has at least one root in `(0,1)dot`

`4a+b+3=0`

`2a+b+1=0`

`a=-4//3, b=0`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APLICATIONS OF DERIVATIVES
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos
APLICATIONS OF DERIVATIVES
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos
APPLICATIONS OF DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

Find the condition if the equation 3x^(2)+4ax+b=0 has at least one root in (0,1).

The equation sin x+x cos x=0 has at least one root in

Find the roots of the equation 3x^(2)+2x=0

Statement-1: If a, b, c in R and 2a + 3b + 6c = 0 , then the equation ax^(2) + bx + c = 0 has at least one real root in (0, 1). Statement-2: If f(x) is a polynomial which assumes both positive and negative values, then it has at least one real root.

If a+b + c = 0, then show that the quadratic equation 3ax^(2) + 2bx +c=0 has at least one root in [0,1].

Statement I The equation 3x^(2)+4ax+b=0 has atleast one root in (o,1), if 3+4a=0. Statement II f(x)=3x^(2)+4x+b is continuos and differentiable in (0,1)

If a,b,c in R and a+b+c=0, then the quadratic equation 3ax^(2)+2bx+c=0 has (a) at least one root in [0,1] (b) at least one root in [1,2](c) at least one root in [(3)/(2),2] (d) none of these

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.

If a+b+2c=0, c!=0, then equation ax^2+bx+c=0 has (A) at least one root in (0,1) (B) at least one root in (0,2) (C) at least on root in (-1,1) (D) none of these

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)

Find the condition if the equation 3x^2+4a x+b=0 has at least one root...
Text Solution
|
If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...
Text Solution
|
The distances moved by a particle in time t seconds is given by s=t^(3...
Text Solution
|
A stone thrown vertically upwards rises S ft in t seconds where S =11...
Text Solution
|
If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is
Text Solution
|
If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...
Text Solution
|
A stone is dropped into a quiet pond and waves spread in the form of c...
Text Solution
|
Perimeter of square increases at the rate of 0.4 cm// sec. When the si...
Text Solution
|
Each side of an equilateral triangle increases at a uniform rate of 0....
Text Solution
|
If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...
Text Solution
|
If V denotes the volume and S is the surface area of a sphere. If radi...
Text Solution
|
Water is poured into an inverted cone of semi-vertical angle 30^(@) at...
Text Solution
|
A ladder 10 m long leans against a house. When its foot is 6 m from th...
Text Solution
|
If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…
Text Solution
|
If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…
Text Solution
|
If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...
Text Solution
|
If a wire of length l, with error delta l, is bent into an equilatera...
Text Solution
|
if radius of a sphere is r with error delta r , and S is its surface ...
Text Solution
|
If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…
Text Solution
|
A point P moves along the curve y=x^(3). If its abscissa is increasing...
Text Solution
|