Advertisements
Advertisements
प्रश्न
Find the value of k for which the points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.
उत्तर
Given, points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.
∴ Slope of PQ = Slope of QR
∴ `(1 - (- 1))/(2 - "k") = (5 - 1)/(4 - 2)`
∴ `2/(2 - "k") = 4/2`
∴ 1 = 2 – k
∴ k = 2 – 1 = 1
APPEARS IN
संबंधित प्रश्न
Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)
Find the slope of the following lines which pass through the point: (2, 3), (2, – 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 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 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 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 points (1, 3), (4, 1), (3, k) are collinear.
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).
Find the slope of the line y – x + 3 = 0.
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.