Chapter 7 – Coordinate Geometry

The ratio in which (4,5) divides the line segment joining the points (2,3) and (7,8) is​

The values of x and y, if the distance of the point (x,y) from (-3,0) as well as from (3,0) is 4 are

The distance between the points (3,4) and (8,-6) is​

The ratio in which the x-axis divides the segment joining A(3,6) and B(12,-3) is​

The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called​

The mid point of the line segment joining A(2a,4) and B(-2,3b) is M (1,2a + 1). The values of a and b are​

The points (1,1), (-2, 7) and (3, -3) are

The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio

The ordinate of a point is twice its abscissa. If its distance from the point (4,3) is \sqrt{10}, then the coordinates of the point are​

The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is

The distance of the point P (2, 3) from the x-axis is

The coordinates of the centre of a circle passing through (1, 2), (3, – 4) and (5, – 6) is:​

The distance between the point P(1, 4) and Q(4, 0) is

The points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?​

The distance of the point P(6,-6) from the origin is equal to​

Origin divides the join of points (1,1) and (2,2) externally in the ratio​

The distance between the points (– 1, – 5) and (– 6, 7) is

If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to​

The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:

If (3,0), (2,a), and (b,6) are the vertices of ABC whose centroid is (2,5), then the values of a and b are​

If (\(\frac { a }{ 3 }\), 4\) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is

If (a, 0) , (0, b) and (x, y) are collinear, then

The area of the triangle formed by joining the mid-points of the sides of the triangle, whose vertices are (0, -1), (2, 1) and (0, 3) is

The distance between the points (a, a) and (−\(\sqrt{3a}\),\(\sqrt{3a}\)) is

The distance of the point (– 3, 4) from the origin is

The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is

27. The distance of the point P(2, 3) from the x-axis is

28. The distance between the point P(1, 4) and Q(4, 0) is

29. The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is

30. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is