Coordinates Quiz 1

Question 1

Write the sum of ordinate of the point $$\left( \dfrac{6}{7},\,\,\dfrac{11}{9} \right)$$ and abscissa of point $$\left( \dfrac{-9}{8},6 \right)$$.

Accepted Answer

$$\dfrac{7}{72}$$

Answer

$$\dfrac{6}{81}$$

Answer

$$\dfrac{3}{19}$$

Answer

$$\dfrac{4}{15}$$

Question 2

A point $$\left( u,\,\,v \right)$$ line in the third quadrant what is the sign of the product $$u\,v$$ and the sum $$u\,+v?$$

Accepted Answer

Sign of $$uv$$ is positive and that of $$u\,+v$$ is negative

Answer

Both are negative

Answer

Sign of $$u\,v$$ is negative and that of $$u\,+v$$ is positive

Answer

Both are positive

Question 3

Write the midpoint of the line segment gaining the coordinates $$\left( \dfrac{-8}{7},\,\,6 \right)$$ and $$\left( 6,\,\,\dfrac{-8}{7} \right)$$.

Accepted Answer

$$\left( \dfrac{17}{7},\,\,\dfrac{17}{7} \right)$$

Answer

$$\left( \dfrac{18}{7},\,\,\dfrac{18}{7} \right)$$

Answer

$$\left( \dfrac{19}{7},\,\,\dfrac{19}{7} \right)$$

Answer

$$\left( \dfrac{29}{7},\,\,\dfrac{29}{7} \right)$$

Question 4

Let $$A\left( \dfrac{1}{7},\,\,\dfrac{1}{9} \right)$$ and $$B\left( 0,\,\,0 \right)$$ be the two points. Write the value of $$AB+BA$$.

Accepted Answer

$$\dfrac{2\sqrt{130}}{63}$$

Answer

$$\dfrac{\sqrt{130}}{126}$$

Answer

$$\dfrac{\sqrt{130}}{39}$$

Answer

$$\dfrac{2\sqrt{130}}{39}$$

Question 5

Distance of point $$y\left( \dfrac{1}{2},\,\dfrac{1}{3} \right)$$ and $$z\,\left( 0\,\,,0 \right)$$ from the point $$T\left( x,\,\,y \right)$$ is same. Write the equation which satisfies this condition.

Accepted Answer

$$36x+24y=13$$

Answer

$$24x+36y=13$$

Answer

$$36x-24y=13$$

Answer

$$24x-36y=13$$