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- Multiple ChoicePlease save your changes before editing any questions.Find the co-ordinates of the point which divides the line segment joining the points (6,3) and (-4,5) in the ratio 3:2 internally.(0 , 5)(1 , 21/5)(0 , 21/5)(1 , 5)
- Multiple ChoicePlease save your changes before editing any questions.In what ratio does the y-axis divide the line segment joining the point P (-4,5) and Q(3,-7)?3:54:32:15:3
- Multiple ChoicePlease save your changes before editing any questions.Find the distance between (-12, 1) and (12, -1).24.0524.0624.0724.08
- Multiple ChoicePlease save your changes before editing any questions.
How is the distance formula correctly written:

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

- Multiple ChoicePlease save your changes before editing any questions.
A(3,1) B(-2,-1) written correctly is:

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

- Multiple ChoicePlease save your changes before editing any questions.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

(0, -1)

(6, 1)

(1, 6)

(0, 1)

- Fill in the BlankPlease save your changes before editing any questions.
The x coordinate of a point P is twice its y- coordinate. If P is equidistant from Q(2,-5) and R(-3,6), find the x coordinate of P.

- Fill in the BlankPlease save your changes before editing any questions.
Find the ratio in which y-axis divides the line segment joining the points A(5,-6) and B(-1,-4).

- Open EndedPlease save your changes before editing any questions.
Show that 3 $\sqrt{7}$ is an irrational number.

Write all the steps. The steps will be checked and scored later.

- Multiple ChoicePlease save your changes before editing any questions.
Find whether the following pair of linear equations is consistent or inconsistent :

$3x+2y=8$

$6x-4y=9$

consistent

inconsistent

- Open EndedPlease save your changes before editing any questions.
$17\times5\times11\times3\times2+2\times11$ Explain why the above is a composite number.

Write the explanation. The question will be marked later.

- Multiple ChoicePlease save your changes before editing any questions.
$3x-y=7$ $2x+5y+1=0$

Solve the above

x=2, y=-1

x=-1, y=2

x=2, y=2

x=-1, y=-1

- Fill in the BlankPlease save your changes before editing any questions.
A boat goes 30km upstream and 44 km downstream in 10 hours. The same boat goes 40km upstream and 55km downstream in 13 hours. what is the speed of boat?