cbse.10.real_linear_eq_coordinate

1.

Multiple Choice

3 mins

1 pt

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)

2.

Multiple Choice

3 mins

1 pt

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

3.

Multiple Choice

2 mins

1 pt

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

24.05

24.06

24.07

24.08

4.

Multiple Choice

1 min

1 pt

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

5.

Multiple Choice

2 mins

1 pt

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

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

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

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

6.

Multiple Choice

2 mins

1 pt

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

(0, -1)

(6, 1)

(1, 6)

(0, 1)

7.

Fill in the Blank

3 mins

1 pt

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.

8.

Fill in the Blank

5 mins

1 pt

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

9.

Open Ended

5 mins

1 pt

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

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

Evaluate responses using AI:

OFF

10.

Multiple Choice

3 mins

1 pt

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

$3x+2y=8$

$6x-4y=9$

consistent

inconsistent

11.

Open Ended

3 mins

1 pt

$17\times5\times11\times3\times2+2\times11$ Explain why the above is a composite number.

Write the explanation. The question will be marked later.

Evaluate responses using AI:

OFF

12.

Multiple Choice

3 mins

1 pt

$3x-y=7$ $2x+5y+1=0$

Solve the above

x=2, y=-1

x=-1, y=2

x=2, y=2

x=-1, y=-1

13.

Fill in the Blank

15 mins

1 pt

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?

Explore this activity with a free account