Maths-

General

Easy

Question

In centre of the triangle formed by the lines y = x, y = 3x and y = 8 – 3x is

- (1, 10)
- (1, 3)
- (1, 6)
- (1/3, 10/3)

## The correct answer is: (1, 6)

### Related Questions to study

physics-

### A lamp rated at 100 cd hangs over the middle of a round table with diameter 3 m at a height of 2 m. It is replaced by a lamp of 25 cd and the distance to the table is changed so that the illumination at the centre of the table remains as before. The illumination at edge of the table becomes X times the original. Then X is

### A lamp rated at 100 cd hangs over the middle of a round table with diameter 3 m at a height of 2 m. It is replaced by a lamp of 25 cd and the distance to the table is changed so that the illumination at the centre of the table remains as before. The illumination at edge of the table becomes X times the original. Then X is

physics-General

physics-

### Five lumen/watt is the luminous efficiency of a lamp and its luminous intensity is 35 candela. The power of the lamp is

Efficiency of light source

..... (i)

and ..... (ii)

From equation (i) and (ii)

.

..... (i)

and ..... (ii)

From equation (i) and (ii)

.

### Five lumen/watt is the luminous efficiency of a lamp and its luminous intensity is 35 candela. The power of the lamp is

physics-General

Efficiency of light source

..... (i)

and ..... (ii)

From equation (i) and (ii)

.

..... (i)

and ..... (ii)

From equation (i) and (ii)

.

physics-

### Lux is equal to

### Lux is equal to

physics-General

physics-

### A 60 *watt* bulb is hung over the center of a table at a height of 3 *m*. The ratio of the intensities of illumination at a point on the centre of the edge and on the corner of the table is

### A 60 *watt* bulb is hung over the center of a table at a height of 3 *m*. The ratio of the intensities of illumination at a point on the centre of the edge and on the corner of the table is

physics-General

maths-

### If f(x) is a polynomial of degree five with leading coefficient one such that f(1)=1^{2},f(2)=2^{2},f(3)=3^{2},f(4)=4^{2},f(5)=5^{2} then

### If f(x) is a polynomial of degree five with leading coefficient one such that f(1)=1^{2},f(2)=2^{2},f(3)=3^{2},f(4)=4^{2},f(5)=5^{2} then

maths-General

maths-

### 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

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

exactlyonerootin(p,q) orrootsarepandq

exactlyonerootin(p,q) orrootsarepandq

### 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

maths-General

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

exactlyonerootin(p,q) orrootsarepandq

exactlyonerootin(p,q) orrootsarepandq

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

or

### 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

or

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

q2–4p0

q=2 p=1

q=3 p=1,2

q=4 p=1,2,3,4

Hence 7 values of (p, q)7equationsarepossible.

q=2 p=1

q=3 p=1,2

q=4 p=1,2,3,4

Hence 7 values of (p, q)7equationsarepossible.

### 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

q2–4p0

q=2 p=1

q=3 p=1,2

q=4 p=1,2,3,4

Hence 7 values of (p, q)7equationsarepossible.

q=2 p=1

q=3 p=1,2

q=4 p=1,2,3,4

Hence 7 values of (p, q)7equationsarepossible.

maths-

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

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.

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.

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

maths-General

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.

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.

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