J P Mohindru and Bharat Mohindru Solutions for Chapter: Quadratic Equations, Exercise 2: EXERCISE

The product of two consecutive positive integers is $240$. Formulate the quadratic equation whose roots are these integers.

The sum of the square of two consecutive numbers is $390$. Formulate the quadratic equation to find the two numbers.

The sum of the numbers is $15$ and the sum of their reciprocals is $\frac{3}{10}$. Formulate the quadratic equation to find the two numbers.

The product of Anil's age (in years) $3$ years ago and his age (in years) $7$ years later is $56$. Formulate a quadratic equation to find his present age $x$.

The height of a right-angle triangle is $7 \mathrm{cm}$ less than its base. If the hypotenuse is $13 \mathrm{cm}$. Formulate the quadratic equation to find the base of the triangle.

The length of a park is $3 \mathrm{m}$ more than its breadth. Formulate quadratic equation to find the dimensions of the park if the area of the park is numerically equal its perimeter.

The speed of a boat in still water is $11 \mathrm{km}/\mathrm{h}$. It can go $12 \mathrm{km}$ upstream and return downstream to the original point in $2$ hours and $45$ minutes. Formulate the quadratic equation, which represent the above situation.

Two water taps together can fill a tank in $9\frac{3}{8} \mathrm{hours}$. The larger takes $10 \mathrm{hours}$ less than the smaller one to fill the tank separately. Formulate the quadratic equation to find the time in which each can separately fill the tank.