P-2 Co-ordinate Geometry Maths - P-2 Co-ordinate Geometry

Fill in the blanks using correct alternatives.
A line makes an angle of 30° with the positive direction of X- axis. So theslope of the line is .......... .

Fill in the blanks using correct alternatives.
Out of the following, point ........ lies to the right of the origin on X- axis.
A. (-2,0)
B. (0,2)
C. (2,3)
D. (2,0)

Fill in the blanks using correct alternatives.
Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be ........ .
A. (3,1)
B. (5,3)
C. (3,0)
D. (1,-3)

In what ratio does the point (1, 6) divide the line segment joining the points (3, 6) and (-5, 6).

Find the ratio in which the line segment joining the points A(3,8) and B(-9, 3)is divided by the Y-axis.

Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k) .

Find k, if B(k, -5), C (1, 2) and slope of the line is 7.

Find k, if R(1, -1), S (-2, k) and slope of line RS is -2.

A(h, -6), B(2, 3) and C(-6, k) are the co-ordinates of vertices of a trianglewhose centroid is G (1, 5). Find h and k.

Find the distances between the following points.
(i) A(a, 0), B(0, a)
(ii) P(-6, -3), Q(-1, 9)
(iii) R(-3a, a), S(a, -2a)

Find the point on X-axis which is equidistant from P(2,-5) and Q(-2,9).

Find the coordinates of the midpoint of the line segment joining P(0,6)and Q(12,20).

Determine whether the given points are collinear.
(1) A(0,2) , B(1,-0.5), C(2,-3)
(2) P(1, 2) , Q(2, 8/5) , R(3, 6/5)
(3) L(1,2) , M(5,3) , N(8,6)

If A (1, -1),B (0, 4),C (-5, 3) are vertices of a triangle then find the slope of each side

Show that A (-4, -7),B (-1, 2), C (8, 5) and D (5, -4) are the vertices of a parallelogram.

Find the slopes of the lines passing through the given points.
(1) A (2, 3), B (4, 7)
(2) P (-3, 1), Q (5, -2)
(3) C (5, -2), D (7, 3)
(4) L (-2, -3), M (-6, -8)
(5) E(-4, -2), F (6, 3)
(6) T (0, -3), S (0, 4)

Find the possible pairs of coordinates of the fourth vertex D of the parallelogram,if three of its vertices are A(5,6), B(1,-2)and C(3,-2).

If A (20, 10), B(0, 20) are given, find the coordinates of the points which divide segment AB into five congruent parts.

Find the lengths of the medians of a triangle whose vertices are A(-1,1), B(5, -3) and C(3, 5).

Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines.
90°

Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines.
60°

Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines.
45°