1.

In which quadrant does the point(-4, -7) lie?

2.

In which quadrant does the point(1, 5) lie?

3.

In which quadrant does the point(9, -2) lie?

4.

In which quadrant does the point(-7, 6) lie?

5.

In which quadrant does the point(0, 9) lie?

6.

In which quadrant does the point(9, 0) lie?

7.

Find the distance of the point A(4, -4) from the origin.

8.

Find the distance of the point A(3, -3) from the origin.

9.

P is a point on x-axis at a distance of 4 units from y-axis to its right. The co-ordinates of P are:

10.

A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:

11.

Find the distance of the point A(4, -2) from the origin.

12.

Find the distance between the points A(-4, 7) and B(2, -5).

13.

The distance between the points A(b, 0) and B(0, a) is.

14.

If the distance of the point P(x, y) from A(a, 0) is a + x, then y^{2} = ?

15.

The distance between the points A(5, -7) and B(2, 3) is:

16.

Find the area of ΔABC whose vertices are A(9, -5), B(3, 7) and (-2, 4).

17.

Find the area of ΔABC whose vertices are A(2, -5), B(4, 9) and (6, -1).

18.

The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is ?

19.

The points A(-4, 0), B(1, -4), and C(5, 1) are the vertices of

20.

Find the vertices of triangle are A(2, 8), B(-4, 3) and (5, -1). The area of ΔABC is:

21.

Find the value of k for which the points A(-2, 5), B(3, k) and C(6, 1) are collinear.

22.

Find the value of k for which the points A(-2, 6), B(5, k) and C(8, 3) are collinear.

23.

If the A(2, 3), B(5, k), and C(6, 7) are collinear, then k = ?

24.

If the points A(1, 2), B(2, 4), and C(k, 6) are collinear, then k = ?

25.

Find the co-ordinates of the centroid of ΔABC whose vertices are A(7, -3), B(5, -4) and C(-3, -5)?

26.

The co-ordinates of the end points of a diameter AB of a circle are A(-6, 8) and B(-10, 6). Find the co-ordinates of its centre.

27.

Find the co-ordinates of a point P which divides the join of A(5, -4) and B(10, 8) in the ratio 3 : 2.

28.

A point C divides the join of A(2,5) and B(3,9) in the ratio 3 : 4. The co-ordinates of C are:

29.

The end points of a line segment AB are A(-6, 4) and B(12,24). Its midpoint is:

30.

The vertices of a ΔABC are A(-6, 18), B(12, 0) and C(9, −21). The centroid of ΔABC is:

**Answer: Option 'B'**

**CENTROID OF A TRIANGLE
The point of intersection of all the medians of a triangle is called its centroid.
If A(x**

31.

The vertices of a quadrilateral ABCD are A(0, 0), B(3,3), C(3, 6) and D(0, 3). Then , ABCD is a

**Answer: Option 'B'**

**AB ^{2} = (3-0)^{2} + (3-0)^{2} = 18 **

BC^{2} = (3-3)^{2} + (6-3)^{2} = 9

CD^{2} = (0-3)^{2} + (3-6)^{2} =18

AD^{2} = (0-0)^{2} + (3-0)^{2} = 9

AB = CD = √18 => 3√2,

BC = AD = √9

AC^{2} = (3-0)^{2} + (6-0)^{2} = 9 + 36 = 45

BD^{2} = (0-3)^{2} + (3-3)^{2} = 9 + 0 = 9

AC ≠ BD

ABCD is a parallelogram.

32.

The points A(1, -3), B(13, 9), C(10, 12) and D(-2, 0) taken in order are the vertices of

**Answer: Option 'D'**

**AB ^{2} = (13-1)^{2} + (9+3)^{2}**

= 12^{2} + 12^{2} = 288.

BC^{2} = (10-13)^{2} + (12-9)^{2}

= -3^{2} + 3^{2} = 9+9 = 18

CD^{2} = (10+2)^{2} + (12-0)^{2}

= 12^{2} + 12^{2} = 288

AD^{2} = (-2-1)^{2} + (0+3)^{2} = (9+9) =18

AB = CD and BC = AD

AC^{2} = (10-1)^{2} + (12+3)^{2}

= 9^{2} + 15^{2} = 81 + 225 = 306.

BD^{2} = (-2-13)^{2} + (0-9)^{2}

= 225 + 81 = 306

AC = BD

ABCD is a rectangle.

33.

If for a line m = tanϑ < 0, then

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