COORDINATE GEOMETRY

The distance of the point P(2, 3) from the x-axis is
1. 2
2. 3
3. 1
4. 5
The distance between the point P(1, 4) and Q(4, 0) is
1. 4
2. 5
3. 6
4. 3
The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is
1. 3
2. 2
3. 1
4. -1
The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is
1. 63
2. 35
3. 53
4. 36
The distance of the point (α, β) from the origin is
1. α+β
2. α²+β²
3. √(α²+β²)
4. 0
What will be the reflection of the point (4, 5) about the X-axis, in the fourth quadrant?
1. (4, 5)
2. (4, -5)
3. (-4, -5)
4. (-4, 5)
Find the values of k, if the points A (k+1, 2k), B (3k, 2k+3) and C (5k-1,5k) are collinear
1. k = 5, 1/5
2. k = 4, 1/4
3. k = 3, 1/3
4. k = 2, 1/2
Name the type of triangle formed by the points A (-5, 6), B (-4,-2) and C (7, 5)
1. Equilateral triangle
2. Scalene triangle
3. Isosceles triangle
4. Right-angled triangle
The distance of the point (–2, –2) from the origin is
1. 2√2
2. √2
3. √9
4. 8
The point on the x-axis which is equidistant from (2, –5) and (–2, 9) is
1. (7, 0)
2. (-7, 0)
3. (2, 0)
4. (-2, 0)
The distance between the points (a, b) and (– a, – b) is:
1. 0
2. 2√(a²+b²)
3. √(a²+b²)
4. a²+b²
Mid-point of the line-segment joining the points (– 5, 4) and (9, – 8) is:
1. (-2,2)
2. (7,-6)
3. (2,-2)
4. (-7,6)
The line x + y = 10 divides line segment AB in the ratio a: 1. Find the value of a.
1. 1/2
2. 1
3. 2
4. 3
Point A (1, 2) and B (3, 4) are two ends of a line segment. Find the point which divides AB in the ratio 3:4
1. 4,3
2. 2,3
3. 15/7,22/7
4. 13/7,20/7
Find the point (x,y) that divides the join of A(3,6) and B(7,10) in the ratio 3:1
1. (6,9)
2. (6,5)
3. (9,6)
4. None
The area of a quadrilateral whose vertices taken in order are (–4, –2), (–3, –5), (3, –2) and (2, 3) is
1. 26 sq. units
2. 28 sq. units
3. 30 sq. units
4. 27 sq. units
If the points (a, 0), (0, b) and (1, 1) are collinear, then which of the following is true?
1. (1/a) + (1/b)= 2
2. (1/a) + (1/b)= 1
3. (1/a) + (1/b)= 0
4. (1/a) + (1/b)= 3
If 2 triangles have the same height, the ratio of their areas is equal to the
1. Ratio of any 2 sides
2. Ratio of their corresponding bases
3. The ratio of their heights
4. 1
The area of triangle with vertices A(x1,y1),B(x2,y2) and C(x3,y3) is:
1. 1/2[x2(y2−y3) +x3(y3−y1) +x2(y1−y2)]
2. 1/2[x1(y2−y3) +x3(y3−y1) +x1(y1−y2)]
3. 1/2[x1(y2−y3) +x2(y3−y1) +x3(y1−y2)]
4. None
If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is
1. 12
2. -6
3. -12
4. -4

COORDINATE GEOMETRY

Quiz