Maths-

General

Easy

Question

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

- 0
- 1
- 2
- none

## The correct answer is: 1

### For (p2– 3p+2)x2–(p2–5p+4)x+p–p2=0tobe anidentity

p2–3p+2 =0 p = 1, 2...(i)

p2 – 5p + 4 = 0 p = 1, 4...(ii)

p – p2 = 0 p = 0, 1...(iii)

For (i), (ii) & (iii) to hold simultaneously p = 1.

### Related Questions to study

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

physics-

### Which curve shows the rise of temperature with the amount of heat supplied, for a piece of ice?

### Which curve shows the rise of temperature with the amount of heat supplied, for a piece of ice?

physics-General

physics-

### The graph signifies

### The graph signifies

physics-General

physics-

### The figure given below shows the cooling curve of pure wax material after heating. It cools from to and solidifies along If and are respective values of latent heat and the specific heat of the liquid wax, the ratio is

### The figure given below shows the cooling curve of pure wax material after heating. It cools from to and solidifies along If and are respective values of latent heat and the specific heat of the liquid wax, the ratio is

physics-General

physics-

### One end of a thermally insulated rod is kept at a temperature and other at . The rod is composed of two sections of lengths and and thermal conductivities and respectively. The temperature at the interface of the two sections is

### One end of a thermally insulated rod is kept at a temperature and other at . The rod is composed of two sections of lengths and and thermal conductivities and respectively. The temperature at the interface of the two sections is

physics-General

maths-

### If and theperiod of is , then

### If and theperiod of is , then

maths-General

physics-

### The adjoining diagram shows the spectral energy density distribution of a black body at two different temperatures. If the areas under the curves are in the ratio 16 : 1, the value of temperature is

### The adjoining diagram shows the spectral energy density distribution of a black body at two different temperatures. If the areas under the curves are in the ratio 16 : 1, the value of temperature is

physics-General

physics-

### Five identical rods are joined as shown in figure. Point and are maintained at temperature and respectively. The temperature of junction will be

### Five identical rods are joined as shown in figure. Point and are maintained at temperature and respectively. The temperature of junction will be

physics-General

Maths-

### If , then _______________

### If , then _______________

Maths-General