मराठी

Find the value of k for which the points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.

Advertisements
Advertisements

प्रश्न

Find the value of k for which the points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.

बेरीज
Advertisements

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

shaalaa.com
Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Locus and Straight Line - Exercise 5.2 [पृष्ठ ७०]

APPEARS IN

बालभारती Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
पाठ 5 Locus and Straight Line
Exercise 5.2 | Q 8 | पृष्ठ ७०

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)


Find the slope of the following lines which pass through the point: (2, 3), (2, – 1)


Find the slope of the line whose inclination is 30°.


Find the slope of the line whose inclination is 45°.


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 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: (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: 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.


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°.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×