Section Formula

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)

In what ratio does the y-axis divide the line segment joining the point P (-4,5) and Q(3,-7)? 

• 3:5
• 4:3
• 2:1
• 5:3

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

Tags

CCSS.HSG.GPE.B.7

A(3,1) B(-2,-1) written correctly is:

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

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

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

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

Tags

CCSS.HSG.GPE.B.7

A(2,0) B(-2,4) is written as

• $d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

• $d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

• $d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

• $d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

Tags

CCSS.6.G.A.3

What is the distance between AB

• 0

• 8

• 9

• 7

Tags

CCSS.6.G.A.3

What is the distance between AB?

• 0

• undefined

• 5

• 4

Tags

CCSS.6.G.A.3

Find the length of line segment AB given A(4, 3) and B(0, 6).

• 3
• 4
• 5
• 7

Tags

CCSS.HSG.GPE.B.7

What is the center of MN given M(3, -1) and N(7, -5)

• (5, -2)
• (10, -6)
• (5, -3)
• (2, -2)

Tags

CCSS.HSG.GPE.B.6

What point is halfway between (3, -1) and (8, -6)?

• (11, -7)
• (-5.5, -3.5)
• (5.5, -3.5)
• (2, -2)

Tags

CCSS.HSG.GPE.B.6