cbse.10.real_linear_eq_coordinate

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

Find the distance between (-12, 1) and (12, -1).

• 24.05
• 24.06
• 24.07
• 24.08

Tags

CCSS.HSG.GPE.B.7

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

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

• (0, -1)

• (6, 1)

• (1, 6)

• (0, 1)

Tags

CCSS.HSG.GPE.B.6

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.

(a)  

Find the ratio in which y-axis divides the line segment joining the points A(5,-6) and B(-1,-4).

(a)  

Show that 3 $\sqrt{7}$  is an irrational number.

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

Find whether the following pair of linear equations is consistent or inconsistent :

 $3x+2y=8$  

 $6x-4y=9$  

• consistent

• inconsistent