Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5], Exercise 1: TEST 3

If $x=\left(7+4\sqrt{3}\right)$, then the value of $\frac{1}{x}$ is

If $\left(x, y\right)=\left(y, x\right)$, then the value of $\left(x-y\right)$ is

At what point, the graph of linear equation $2x+3y=6$ cuts the $Y$-axis?

In the given figure, $AE=DF, E$ is the mid-point of $AB$ and $F$ is the mid-point of $DC$. Using Euclid's axiom. show that $AB=DC$.

Find the sum of $2.\overline{3}$ and $4.\overline{15}$.

If the polynomials $a{z}^3+4z^2+3z-4$ and  $z^3-4z+a$ leave the same remainder when divided by $z-3$, then find the value of $a$.

Solve the equation $3y-3=13-y$ and represent the solution on number line.

Solve the equation $3y-3=13-y$ and represent the solution in the cartesian plane.