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Coordinate Geometry

Find the coordinates of the point Q on the x–axis which lies on the perpendicular bisector of the line segment joining the points A (–5, –2) and B(4, –2).  Name the type of triangle formed by the points Q, A and B.

08/11/2024

Mathematics

10th

Coordinate Geometry

Find a point which is equidistant from the points A (–5, 4) and B (–1, 6)? How many such points are there?

08/11/2024

Mathematics

10th

Coordinate Geometry

Find the value of a , if the distance between the points A (–3, –14) and B (a, –5) is 9 units.

08/11/2024

Mathematics

10th

Coordinate Geometry

What type of a quadrilateral do the points A (2, –2), B (7, 3), C (11, –1) and D (6, –6) taken in that order, form?

08/11/2024

Mathematics

10th

Coordinate Geometry

Name the type of triangle formed by the points A (–5, 6), B (–4, –2) and C (7, 5).

08/11/2024

Mathematics

10th

Coordinate Geometry

 ABCD is a parallelogram with vertices A (x1, y1), B (x2, y2) and C (x3, y3). Find the coordinates of the fourth vertex D in terms of x1, x2, x3, y1, y2 and y3.

08/11/2024

Mathematics

10th

Coordinate Geometry

  Find  the  area  of  the  triangle ABC  with A  (1,  –4)  and  the mid-points of sides through A being (2, – 1) and (0, – 1).

08/11/2024

Mathematics

10th

Coordinate Geometry

 If the mid-point of the line segment joining the points  A (3, 4) and B (k, 6) is P (x, y) and x + y – 10 = 0, find the value of k.

08/11/2024

Mathematics

10th

Coordinate Geometry

State whether the following statement are true or false. Justify your answer.

The  points A  (–1,  –2),  B  (4,  3),  C  (2,  5)  and  D  (–3,  0)  in  that  order  form  a rectangle.

08/11/2024

Mathematics

10th

Coordinate Geometry

State whether the following statement are true or false. Justify your answer.

The point P (–2, 4) lies on a circle of radius 6 and centre C (3, 5).

08/11/2024

Mathematics

10th