## Search found 38 matches

- Tue Jun 21, 2016 5:42 pm
- Forum: Higher Secondary Level
- Topic: ordered pair (n,r)
- Replies:
**1** - Views:
**1489**

### ordered pair (n,r)

Total number of whole number integer ordered pair $(n,r)$ in $\displaystyle \binom{n}{r} = 120$

- Thu Feb 07, 2013 11:59 am
- Forum: Higher Secondary Level
- Topic: probability
- Replies:
**3** - Views:
**5611**

### Re: probability

Thanks kfoozminus

- Thu Feb 07, 2013 11:58 am
- Forum: Higher Secondary Level
- Topic: range of f(x)
- Replies:
**0** - Views:
**1205**

### range of f(x)

Let the range of the function $f:\mathbb{R}\rightarrow \mathbb{R}$ and $f(x) = | x-1| + |x - a| + | x| + |x+1| + |x+ 2a - 21 |$ given by $\left[\alpha,\infty \right)$ where $a$ being a real parameter . Then find the number of integral values of $a$ for which there is exactly one $x_{0}\in\mathbb{R}$...

- Sat Apr 21, 2012 7:11 pm
- Forum: Algebra
- Topic: vieta,s problem
- Replies:
**2** - Views:
**1341**

### Re: vieta,s problem

Thanks Sourav

- Sat Apr 21, 2012 7:10 pm
- Forum: Algebra
- Topic: MODULUS OF COMPLEX NUMBER
- Replies:
**2** - Views:
**1572**

- Sun Jan 22, 2012 7:59 pm
- Forum: Algebra
- Topic: exponential equation.
- Replies:
**4** - Views:
**2042**

### exponential equation.

no. of real solution of the equation $4^x = x^2$

- Sun Jan 22, 2012 7:55 pm
- Forum: Algebra
- Topic: Trigonometric equation
- Replies:
**0** - Views:
**858**

### Trigonometric equation

Prove that equation $\sec x+\csc x = c$ has $2$ solution when $c^2<8$ and $4$ solution when $c^2>8$

where $0<x<2\pi$

where $0<x<2\pi$

- Wed Jan 18, 2012 2:20 pm
- Forum: Algebra
- Topic: vieta,s problem
- Replies:
**2** - Views:
**1341**

### vieta,s problem

If $\alpha,\beta,\gamma$ be the roots of the equation $x^3-3x+1=0$

The find value of $(\alpha-\beta)(\beta-\gamma)(\gamma-\alpha)=$

The find value of $(\alpha-\beta)(\beta-\gamma)(\gamma-\alpha)=$

- Thu Jan 12, 2012 9:17 pm
- Forum: Algebra
- Topic: System of equations.
- Replies:
**2** - Views:
**1363**

### Re: System of equations.

Thanks Admin Got it

- Wed Jan 04, 2012 1:58 am
- Forum: Algebra
- Topic: System of equations.
- Replies:
**2** - Views:
**1363**

### System of equations.

solve all Real solution of System of equations

$x+y=\sqrt{4z-1}$

$y+z=\sqrt{4x-1}$

$z+x=\sqrt{4y-1}$

$x+y=\sqrt{4z-1}$

$y+z=\sqrt{4x-1}$

$z+x=\sqrt{4y-1}$