Disha Expert Team Solutions for Exercise 1: EXERCISE

Let $p$ and $q$ be the roots of the quadratic equation, $x^2-\left(\alpha -2\right)x-\alpha -1=0$. What is the minimum possible value of $p^2+q^2$?

In the following question, two equations are given. You have to solve both the equations and choose the appropriate alternative as the answer.

$$\begin{gathered} \left(I\right) x^2+5x+6=0 \\ \left(II\right) y^2+3y+2=0 \end{gathered}$$

In the following question, two equations are given. You have to solve both the equations and choose the appropriate alternative as the answer.

$$\begin{gathered} \left(1\right) x^2-10x+24=0 \\ \left(2\right) y^2-9y+20=0 \end{gathered}$$

In the following question, two equations are given. You have to solve both the equations and choose the appropriate alternative as the answer.

$$\begin{gathered} \left(1\right) {\left(\mathrm{x}\right)}^2=961 \\ \left(2\right) \mathrm{y}=\sqrt{961} \end{gathered}$$

In the following question, two equations are given. You have to solve both the equations and choose the appropriate alternative as the answer.

$\left(1\right) x^2-72=x$

$\left(2\right) y^2=64$

In the following question, two equations are given. You have to solve both the questions and choose the appropriate alternative as the answer.

$$\begin{gathered} \left(1\right) x^2-463=321 \\ \left(2\right) y^2-421=308 \end{gathered}$$

$A$ and $B$ are two numbers such that $6$ times of the square of $B$ is $540$ more than the square of $A$. If the respective ratio between $A$ and $B$ is $3:2$, what is the value of $B$?

The cost of $5$ pens and $8$ pencils is Rs $31$. What would be the cost of $15$ pens and $24$ pencils?