Maths-

General

Easy

Question

# If f(x) = ax^{2}+ bx + c such that f(p) + f(q) = 0 where a0 ; p , qR then number of real roots of equation f(x) = 0in interval [p, q] is

- Exactly one
- at leas tone
- at most one
- data provided is insufficient

## The correct answer is: Exactly one

### f(p)=–f(q) eitherf(p)f(q)<0 or f(p) =0=f(q)

exactlyonerootin(p,q) orrootsarepandq

### Related Questions to study

maths-

### If f(x) is a differentiable function satisfying f(x+ y)= f(x)f(y) x, y R and f'(0)=2 then f(x)=

### If f(x) is a differentiable function satisfying f(x+ y)= f(x)f(y) x, y R and f'(0)=2 then f(x)=

maths-General

physics-

### Maximum kinetic energy (E_{k} ) of a photoelectron varies with the frequency ( v ) of the incident radiation as

### Maximum kinetic energy (E_{k} ) of a photoelectron varies with the frequency ( v ) of the incident radiation as

physics-General

maths-

### The degree of the differential equation satisfying is

### The degree of the differential equation satisfying is

maths-General

Maths-

### If then the solution of the equation is :

### If then the solution of the equation is :

Maths-General

physics-

### A simple magnifying lens is used in such a way that an image is formed at 25 *cm* away from the eye. In order to have 10 *times* magnification, the focal length of the lens should be

### A simple magnifying lens is used in such a way that an image is formed at 25 *cm* away from the eye. In order to have 10 *times* magnification, the focal length of the lens should be

physics-General

Maths-

The differential equation of all circles which pass through the origin and whose centres lie on y-axis is

The differential equation of all circles which pass through the origin and whose centres lie on y-axis is

Maths-General

maths-

### Let p, q{1,2,3,4}.Then number of equation of the form px^{2}+qx+1=0,having real roots ,is

### Let p, q{1,2,3,4}.Then number of equation of the form px^{2}+qx+1=0,having real roots ,is

maths-General

maths-

### Number of values of 'p' for which the equation possess more than two roots ,is:

### Number of values of 'p' for which the equation possess more than two roots ,is:

maths-General

maths-

### Statement-1- The number is not divisible by 11.Because

Statement-2- If p is a prime, the exponent of p in n! is + + +……Where [x] denotes the greatest integer x.

### Statement-1- The number is not divisible by 11.Because

Statement-2- If p is a prime, the exponent of p in n! is + + +……Where [x] denotes the greatest integer x.

maths-General

physics-

### According to Newton’s law of cooling, the rate of cooling is proportional to , where is the temperature differences between the body and the surroundings and is equal to

### According to Newton’s law of cooling, the rate of cooling is proportional to , where is the temperature differences between the body and the surroundings and is equal to

physics-General

Maths-

### satisfies the relation then value of A and B respectively are:

### satisfies the relation then value of A and B respectively are:

Maths-General

physics-

### Radius of a conductor increases uniformly from left end to right end as shown in fig Material of the conductor is isotropic and its curved surface is thermally insulated from surrounding. Its ends are maintained at temperatures and : If, in steady state, heat flow rate is equal to , then which of the following graphs is correct

### Radius of a conductor increases uniformly from left end to right end as shown in fig Material of the conductor is isotropic and its curved surface is thermally insulated from surrounding. Its ends are maintained at temperatures and : If, in steady state, heat flow rate is equal to , then which of the following graphs is correct

physics-General

physics-

### Water and turpentine oil (specific heat less than that of water) are both heated to same temperature. Equal amounts of these placed in identical calorimeters are then left in air

### Water and turpentine oil (specific heat less than that of water) are both heated to same temperature. Equal amounts of these placed in identical calorimeters are then left in air

physics-General

physics-

### Variation of radiant energy emitted by sun, filament of tungsten lamp and welding are as a function of its wavelength is shown in figure. Which of the following option is the correct match?

### Variation of radiant energy emitted by sun, filament of tungsten lamp and welding are as a function of its wavelength is shown in figure. Which of the following option is the correct match?

physics-General

physics-

### Six identical metallic rods are joined together in a pattern as shown in the figure. Points A and D are maintained at temperature and . The temperature of the junction will be

### Six identical metallic rods are joined together in a pattern as shown in the figure. Points A and D are maintained at temperature and . The temperature of the junction will be

physics-General