Coordinates of Points and Distances
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Definition of x axis and y axis and origin
The abscissa or x-coordinate of any point on Y- axis is:
Three
One
Zero
Two
Coordinates of the vertices of a quadrilateral are and . The angle between its diagonals will be
C is the mid-point of PQ if P is (4, x), C is (y, -1) and Q is (-2, 4), then x and y respectively are
- 6 and 1
-6 and 2
6 and -2
6 and -1
The area of the triangle formed by the points P (0, 1), Q(0, 5) and R(3, 4) is
16 sq.units
8 sq.units
4 sq.units
6 sq.units
The distance of a point (2, 3) from the y - axis is.
3 units
2 units
1 unit
5 units
The distance of a point (2, 3) from the x− axis is
3 units
2 units
5 units
1 unit
Consider the following two statements.
Statement -1 : The coordinate of a point on the x-axis is of the form and that of the point on the y-axis is .
Statement -2 : The point of interaction of the axes is called the origin.
Statement 1 is true and Statement 2 is false.
Statement 1 is false and Statement 2 is true.
Both the statement 1 and 2 are true
Both the statement 1 and 2 are false
Find the coordinates of C.
Find the coordinates of points of trisection of the line segment joining the points
A(-2, 8) and B(4, 12)
(9, 43)(4, 95)
(0, 283)(2, 323)
(4, 53)(9, 23)
(8, 53)(4, 59)
The distance of a point (2, 3) from the x- axis is
5 units
3 units
2 units
1 unit
Three boys, Ankur, Syed and David are sitting at equal distances on the boundary of a circular park of radius 20 m. Each of them has a toy telephone to talk to each other. Find the length of the string that connects the telephones of any two of the boys.
20√3
40√3
30√3
10√3
Find the coordinates of the points A and B from the following graph.
Any point on the x-axis is of the form:
A) (x, y)
B) (0, y)
C) (x, 0)
D) (x, -y)
If (7, 3), (6, 1), (8, 2) and (p, q) are the vertices of a parallelogram, taken in order, then find the values of p and q.
p = ___ and q = ___
p=9, q=4
p=9, q=6
p=5, q=6
p=4, q=9
- [−7, 18]
- (1 , 6 )
- [−12, 5]
- [56, 6]
- 18
(a) (i) Complete the table of values for y=−x2+5x.
x | −1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
y | −6 | 4 | 4 | 0 |
(ii) On the grid, draw the graph of y=−x2+5x for −1<x<6.
(b) Write down the co-ordinates of the highest point on the graph.
(c) Use your graph to solve the equation −x2+5x=−3.
(d) (i) On the grid draw, the line of symmetry for the graph.
(ii) Write down the equation of the line of symmetry for the graph.
- 10
- P
- S
- R
- None of these
Plot the Points (3, 5) and (-1, 3) on a graph paper and verify that the straight line passing through the points, also passes through the point (1, 4).
- 5
- 6
- 4
- 3
- 30
- 20
- 50
- 10