Check whether the following is quadratic equation: $\left(2x-1\right)\left(x-3\right)=\left(x+5\right)\left(x-1\right)$  

Is x=2 a solution of the equation : $2x^2-x+9=x^2+4x+3$  

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers

The sum of the reciprocals of Arun's ages 3 years ago and five years from now is $\frac{1}{3}$  . Find his present age

Divide 57 into two parts whose product is 680

For what values of k are the roots of the quadratic equation   $x^2+k\left(2x\right)+2=0$  real and equal ?

A quadratic equation in variable 'x' is of the form $ax^2+bx+c=0$  , where a, b and c are .......... numbers and  $a\ne0$  

The difference of squares of two numbers is 180. The squares of the smaller number is 8 times the larger number. Find two numbers

The values of k for which the quadratic equation $16x^2+4ks+9=0$  has real and equal roots are

A quadratic equation  $ax^2+bx+c=0$  has no real roots if

Is the following a quadratic equation $3x^2-5x+9=x^2-7x+3$  

If the sum of first n even natural numbers is 420 find the value of n

State True of False : Every quadratic equation has exactly one root

The following equation $X+\frac{1}{X}=X^2$  is a quadratic equation or not ?

State True of False : A dealer sells a toy for Rs. 24 and gains as much percent as the cost price of the toy. Now, the mathematical concept which is used in finding the cost price of the toy is the quadratic equation

Check whether the following is a quadratic equation $x^2-2x=\left(-2\right)\left(3-x\right)$