Advertisements
Advertisements
प्रश्न
Find the slope of the diagonals of a quadrilateral with vertices A(1, 7), B(6, 3), C(0, –3) and D(–3, 3).
उत्तर
Suppose ABCD is the given quadrilateral.
\[\therefore\text{Slope of line AC}=\frac{y_2-y_1}{x_2-x_1}\]
Slope of AC = \[\frac{7 + 3}{1 - 0} = \frac{10}{1} = 10\]
\[\therefore\text{Slope of line BD}=\frac{y_2-y_1}{x_2-x_1}\]
Slope of BD = \[\frac{3 - 3}{6 + 3} = 0\]
∴ The slopes of the diagonals of the quadrilateral are 10 and 0.
APPEARS IN
संबंधित प्रश्न
Find the slope of the line passing through the points A(-2, 1) and B(0, 3).
Find the slope of the line passing through the points A(2, 3) and B(4, 7).
A and B are two points on the x-axis and y-axis respectively. P (2, −3) is the midpoint of AB. Find the:
(1) coordinates of A and B
(2) slope of line AB.
(3) an equation of line AB.
Find the slope of the line parallel to AB if : A = (0, −3) and B = (−2, 5)
Find the slope of the line perpendicular to AB if : A = (0, −5) and B = (−2, 4)
(−2, 4), (4, 8), (10, 7) and (11, –5) are the vertices of a quadrilateral. Show that the quadrilateral, obtained on joining the mid-points of its sides, is a parallelogram.
The line through P(5, 3) intersects y-axis at Q.
- Write the slope of the line.
- Write the equation of the line.
- Find the co-ordinates of Q.
Find the slope of the line which is parallel to `x/2 - y/3 -1 = 0 `
The ordinate of a point lying on the line joining the points (6, 4) and (7, –5) is –23. Find the coordinates of that point.
Find the slope of the lines passing through the given point.
A(2, 3), B(4, 7)
Find k, if R(1, –1), S (–2, k) and slope of line RS is –2.
Show that A(4, –1), B(6, 0), C(7, –2) and D(5, –3) are vertices of a square.
Find the slope of a line passing through the given pair of points (9,-2) and (-5,5)
Find the slope and the y-intercept of the following line 4y = 5x - 8
Find slope of a line passing through the points A(3, 1) and B(5, 3).
Find the slope of the line passing through the points A(6, -2) and B(–3, 4).
Find the slope of the line passing through the points A(4,7) and B(2,3).
The vertices of a triangle are A(10, 4), B(- 4, 9) and C(- 2, -1). Find the
If the lines kx – y + 4 = 0 and 2y = 6x + 7 are perpendicular to each other, find the value of k.
