मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following question: Find the value of k the points A (1, 3), B(4, 1), C(3, k) are collinear - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Answer the following question:

Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear

बेरीज

उत्तर

Given, 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`

shaalaa.com
Straight Lines
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Miscellaneous Exercise 5 [पृष्ठ १२४]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 5 Straight Line
Miscellaneous Exercise 5 | Q II. (1) (b) | पृष्ठ १२४

संबंधित प्रश्‍न

Find the slope of the following line which passes through the points:

E(2, 3), F(2, −1)


Find the slope of the following line which passes through the points:

G(7, 1), H(−3, 1)


Find the slope of the line whose inclination is `pi/4`


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 points P(k, −1), Q(2, 1) and R(4, 5) are collinear.


Find the acute angle between the X-axis and the line joining points A(3, −1) and B(4, −2).


Select the correct option from the given alternatives:

The angle between the line `sqrt(3)x - y - 2` = 0 and `x - sqrt(3)y + 1` = 0 is 


Answer the following question:

Find the value of k if the slope of the line passing through the points P(3, 4), Q(5, k) is 9


Answer the following question:

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)


Answer the following question:

Find the equation of the line containing the point T(7, 3) and having inclination 90°.


Find the equation of the lines passing through the point (1, 1) with y-intercept (– 4)


Find the equation of the lines passing through the point (1,1) and (– 2, 3)


Find the equation of the lines passing through the point (1, 1) and the perpendicular from the origin makes an angle 60° with x-axis


If P(r, c) is midpoint of a line segment between the axes then show that `x/"r" + y/"c"` = 2


The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the linear relationship between C and F


The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the value of F for 38°C


An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find the distance between the place and the target


An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find time taken to hit the target


Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using concept of slope 


Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using a straight line


Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using any other method


A 150 m long train is moving with constant velocity of 12.5 m/s. Find the equation of the motion of the train


A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross the bridge of length 850 m


A family is using Liquefied petroleum gas (LPG) of weight 14.2 kg for consumption. (Full weight 29.5kg includes the empty cylinders tare weight of 15.3kg.). If it is used with constant rate then it lasts for 24 days. Then the new cylinder is replaced. Find the equation relating the quantity of gas in the cylinder to the days


In a shopping mall there is a hall of cuboid shape with dimension 800 × 800 × 720 units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the heights at which the escalator changes its direction


Choose the correct alternative:
Straight line joining the points (2, 3) and (−1, 4) passes through the point (α, β) if


Choose the correct alternative:
Equation of the straight line perpendicular to the line x − y + 5 = 0, through the point of intersection the y-axis and the given line


The distance of the origin from the centroid of the triangle whose two sides have the equations. x – 2y + 1 = 0 and 2x – y – 1 = 0 and whose orthocenter is `(7/3. 7/3)` is ______.


The number of possible tangents which can be drawn to the curve 4x2 – 9y2 = 36, which are perpendicular to the straight line 5x + 2y – 10 = 0 is ______.


The coordinates of vertices of base BC of an isosceles triangle ABC are given by B(1, 3) and C(–2, 7) which of the following points can be the possible coordinates of the vertex A?


The locus of the midpoint of the portion intercept between the axes by the line xcosa + ysina = P where P is a constant is ______.


Find the coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) internally in the ratio 2 : 3.


The equation of the line passing through the point (–3, 1) and bisecting the angle between co-ordinate axes is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×