Maths-

General

Easy

Question

# Consider f(x) = |1–x| 1 £ x £ 2 and g(x )= f(x) + b , 1 £ x £ 2 then which of the following is correct?

- Rolles theorem is applicable to both f, g and
- LMVT is not applicable to f and Rolles theorem if applicable to g with
- LMVT is applicable to f and Rolles theorem is applicable to g with b = 1
- Rolles theorem is not applicable to both f, g for any real b

## The correct answer is: LMVT is applicable to f and Rolles theorem is applicable to g with b = 1

### Related Questions to study

Maths-

### The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is -

### The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is -

Maths-General

physics

### The relation between time and displacement of a moving particle is given by where is a constant. The shape of the graph is is....

### The relation between time and displacement of a moving particle is given by where is a constant. The shape of the graph is is....

physicsGeneral

Maths-

### If P (q) and Q are two points on the ellipse , then locus of the mid – point of PQ is

### If P (q) and Q are two points on the ellipse , then locus of the mid – point of PQ is

Maths-General

Maths-

### If CP and CD are semi – conjugate diameters of an ellipse then CP^{2} + CD^{2} =

### If CP and CD are semi – conjugate diameters of an ellipse then CP^{2} + CD^{2} =

Maths-General

Maths-

### The normals to the curve x = a ( + sin ), y = a (1 – cos ) at the points = (2n + 1) , n I are all -

### The normals to the curve x = a ( + sin ), y = a (1 – cos ) at the points = (2n + 1) , n I are all -

Maths-General

Maths-

### The normal to the curve x = 3 cos – , y = 3 sin – at the point = /4 passes through the point -

### The normal to the curve x = 3 cos – , y = 3 sin – at the point = /4 passes through the point -

Maths-General

Maths-

### The normal of the curve given by the equation x = a (sin + cos), y = a (sin – cos) at the point Q is -

### The normal of the curve given by the equation x = a (sin + cos), y = a (sin – cos) at the point Q is -

Maths-General

Maths-

### If the tangent at ‘t’ on the curve y = , x = meets the curve again at and is normal to the curve at that point, then value of t must be -

### If the tangent at ‘t’ on the curve y = , x = meets the curve again at and is normal to the curve at that point, then value of t must be -

Maths-General

Maths-

### The tangent at (, – ) on the curve y = – meets the curve again at Q, then abscissa of Q must be -

### The tangent at (, – ) on the curve y = – meets the curve again at Q, then abscissa of Q must be -

Maths-General

Maths-

### If = 1 is a tangent to the curve x = 4t,y =, t R then -

### If = 1 is a tangent to the curve x = 4t,y =, t R then -

Maths-General

Maths-

### The line + = 1 touches the curve at the point :

### The line + = 1 touches the curve at the point :

Maths-General

physics

### An object moves in a straight line. It starts from the rest and its acceleration is . 2 ms^{2}.After reaching a certain point it comes back to the original point. In this movement its acceleration is -3 ms^{2}, till it comes to rest. The total time taken for the movement is 5 second. Calculate the maximum velocity.

### An object moves in a straight line. It starts from the rest and its acceleration is . 2 ms^{2}.After reaching a certain point it comes back to the original point. In this movement its acceleration is -3 ms^{2}, till it comes to rest. The total time taken for the movement is 5 second. Calculate the maximum velocity.

physicsGeneral

Maths-

### For the ellipse the foci are

### For the ellipse the foci are

Maths-General

Maths-

### For the ellipse , the latus rectum is

### For the ellipse , the latus rectum is

Maths-General

Maths-

### The sum of distances of any point on the ellipse 3 x^{2} + 4y^{2} = 24 from its foci is

### The sum of distances of any point on the ellipse 3 x^{2} + 4y^{2} = 24 from its foci is

Maths-General