coordinate systems geometry help

Points are (-7,-3) and (6,10). Slope is Angle is..

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Question: Calculate the ratio in which the line joining A(6, 5) and B(4, -3) is divided by the line y = 2. [3 Mark] Answer: Let the line y = 2(parallel to x-axis) divide line AB at O. Coordinates of O(x, 2) in the ratio m: n. Then according to section formula, ..

If the coordinates of the vertices of the D ABC are A(x 1 ,y 1 ), B(x 2 ,y 2 ) and C(x 3 ,y 3 ), then the area of triangle is given ..

Area of a triangle - If the coordinates of the vertices of the D ABC are A(x 1 ,y 1 ), B(x 2 ,y 2 ) and C(x 3 ,y 3 ), then the area of triangle is given ..

Question: In the circle with centre O, CD is a diameter. If the Coordinates of C and D are (10, 0) and (-2, -3). Find the Coordinates of the centre O. [2 Mark] Answer: CD is the diameter. O is the centre of circle. Diameter = 2 x radius Hence O is the mid point..

Question: Prove that for the vertices A (x 1 ,y 1 ), B (x 2 ,y 2 ) and C (x 3 ,y 3 ) of a triangle ABC, its centroid is [3 Mark] Answer: ABC is the given triangle in which AD is the median of BC. D divides BC in the ratio 1:1 (D is the midpoint of BC) The co-ordinates..

Question: Find the Coordinates of the point A and B where the line 3x - 2y = 24 cuts the x-axis and Y-axis respectively. Also find the Coordinates of the mid point of AB. [3 Mark] Answer: Point A(x, 0) lies on the line 3x - 2y = 24 Hence values of x and y should..

Quadrants - The four quadrants formed by the ordinate axes are numbered as shown in the figure. The table below shows the sign of the coordinates of the point in different quadrants. The following table shows the position of some points in the quadrant..

Question: Calculate the distance between A(7, 3) and B on the x-axis whose abscissa is 11. [2 Mark] Answer: Point on x-axis. Hence its ordinate = 0. Co-ordinates of B(11, 0), A(7, 3). By distance formula, distance between AB, ..