ABCD is a parallelogram. If the coordinates of A, B and D are (10, -6), (2, -6) and (4, -2) respectively, find the coordinates of C.

Let the coordinates of C be (x, y) and other three vertices of the given parallelogram are A(10, -6), B(2, -6) and D(4, -2). Since, ABCD is a parallelogram, its diagonals bisect each other. Let AC and BD intersect each other at O. So, O is the mid-point of BD, so coordinates of O are, The mid-point of AC is Since O is the mid-point of AC so comparing, Hence, the coordinates of P are (-4, -2).

If the abscissa of a point P is 2, find the ratio in which it divides the line segment joining the points (-4, 3) and (6, 3). Hence, find the coordinates of P.

View Answer Bookmark Now

Determine the ratio in which the line 2x + y - 4 = 0 divide the line segment joining the points A(2, -2) and B(3, 7). Also find the coordinates of the point of the division.

View Answer Bookmark Now

ABCD is a parallelogram whose vertices A and B have coordinates (2, -3) and (-1, -1) respectively. If the diagonals of the parallelogram meet at the point M(1, -4), find the coordinates of C and D. Hence, find the perimeter of the parallelogram.

View Answer Bookmark Now

Given O (0, 0), P(1, 2), S(-3, 0). P divides OQ in the ratio 2 : 3 and OPRS is a parallelogram.
Find :
(i) the coordinates of Q.
(ii) the coordinates of R.
(iii) the ratio in which RQ is divided by the x-axis.

View Answer Bookmark Now

Mathematics

ABCD is a parallelogram. If the coordinates of A, B and D are (10, -6), (2, -6) and (4, -2) respectively, find the coordinates of C.

Section Formula

Related Questions

If the abscissa of a point P is 2, find the ratio in which it divides the line segment joining the points (-4, 3) and (6, 3). Hence, find the coordinates of P.

Determine the ratio in which the line 2x + y - 4 = 0 divide the line segment joining the points A(2, -2) and B(3, 7). Also find the coordinates of the point of the division.

ABCD is a parallelogram whose vertices A and B have coordinates (2, -3) and (-1, -1) respectively. If the diagonals of the parallelogram meet at the point M(1, -4), find the coordinates of C and D. Hence, find the perimeter of the parallelogram.

Given O (0, 0), P(1, 2), S(-3, 0). P divides OQ in the ratio 2 : 3 and OPRS is a parallelogram.
Find :
(i) the coordinates of Q.
(ii) the coordinates of R.
(iii) the ratio in which RQ is divided by the x-axis.

Mathematics

ABCD is a parallelogram. If the coordinates of A, B and D are (10, -6), (2, -6) and (4, -2) respectively, find the coordinates of C.

Section Formula

Related Questions

If the abscissa of a point P is 2, find the ratio in which it divides the line segment joining the points (-4, 3) and (6, 3). Hence, find the coordinates of P.

Determine the ratio in which the line 2x + y - 4 = 0 divide the line segment joining the points A(2, -2) and B(3, 7). Also find the coordinates of the point of the division.

ABCD is a parallelogram whose vertices A and B have coordinates (2, -3) and (-1, -1) respectively. If the diagonals of the parallelogram meet at the point M(1, -4), find the coordinates of C and D. Hence, find the perimeter of the parallelogram.

Given O (0, 0), P(1, 2), S(-3, 0). P divides OQ in the ratio 2 : 3 and OPRS is a parallelogram.Find :(i) the coordinates of Q.(ii) the coordinates of R.(iii) the ratio in which RQ is divided by the x-axis.

Given O (0, 0), P(1, 2), S(-3, 0). P divides OQ in the ratio 2 : 3 and OPRS is a parallelogram.
Find :
(i) the coordinates of Q.
(ii) the coordinates of R.
(iii) the ratio in which RQ is divided by the x-axis.