Advertisements
Advertisements
Question
Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.
Solution
The points A(1, 3), B(4, 1) and C(3, k) are collinear.
∴ Slope of AB = Slope of BC
∴ `(1 - 3)/(4 - 1) = ("k" - 1)/(3 - 4)`
∴ `(-2)/3 = ("k" - 1)/(-1)`
∴ 2 = 3k – 3
∴ k = `5/3`.
APPEARS IN
RELATED QUESTIONS
Find the slope of the following lines which pass through the point: (7, 1), (– 3, 1)
If the X and Y-intercepts of line L are 2 and 3 respectively, then find the slope of line L.
Find the slope of the line whose inclination is 30°.
A line makes intercepts 3 and 3 on coordinate axes. Find the inclination of the line.
Without using Pythagoras theorem, show that points A (4, 4), B (3, 5) and C (– 1, – 1) are the vertices of a right-angled triangle.
Find the value of k for which the points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.
Find the slope of the line passing through the following point: (1, 2), (3, – 5)
Find the slope of the line passing through the following point: (1, 3), (5, 2)
Find the slope of the line passing through the following point: (–1, 3), (3, –1)
Find the slope of the line passing through the following point: (2, – 5), (3, – 1)
Find the slope of the line which makes an angle of 120° with the positive X-axis.
Find the slope of the line which makes intercepts 3 and – 4 on the axes.
Find the slope of the line which passes through the points A(–2, 1) and the origin.
Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9.
Find the value of k: the point P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3).
Obtain the equation of the line containing the point: (2, 4) and perpendicular to the Y−axis.
Obtain the equation of the line containing the point: (2, 5) and perpendicular to the X−axis.
Find the equation of the line: containing the origin and having inclination 90°.
