Advertisements
Advertisements
प्रश्न
Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the slope of the following lines which pass through the point: (2, – 1), (4, 3)
Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)
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°.
Find the slope of the line whose inclination is 45°.
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 slope of the line which makes angle of 45° with the positive direction of the Y-axis measured clockwise.
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: (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.
Obtain the equation of the line containing the point: (2, 4) and perpendicular to the Y−axis.
Find the equation of the line: containing the point T(7, 3) and having inclination 90°.
Find the equation of the line: containing the origin and having inclination 90°.
