मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find K, If R(1, –1), S (–2, K) and Slope of Line Rs is –2. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Find k, if R(1, –1), S (–2, k) and slope of line RS is –2. 

बेरीज

उत्तर

Slope of line RS is –2
Slope of RS will be

\[\frac{y_2 - y_1}{x_2 - x_1} = \frac{k - \left( - 1 \right)}{- 2 - 1} = \frac{k + 1}{- 3} = - 2\]

\[ \Rightarrow k + 1 = 6\]

\[ \Rightarrow k = 5\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Co-ordinate Geometry - Practice Set 5.3 [पृष्ठ १२२]

APPEARS IN

बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
पाठ 5 Co-ordinate Geometry
Practice Set 5.3 | Q 6 | पृष्ठ १२२

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

A slope of a line is 3 and y-intercept is –4. Write the equation of a line


A and B are two points on the x-axis and y-axis respectively. P (2, −3) is the midpoint of AB. Find the:

(1) coordinates of A and B
(2) slope of line AB.
(3) an equation of line AB.


Without using the distance formula, show that the points A(4, −2), B(−4, 4) and C(10, 6) are the vertices of a right-angled triangle.


Find the slope and the inclination of the line AB if : A = `(-1, 2sqrt(3))` and B = `(-2, sqrt(3))`


Lines mx + 3y + 7 = 0 and 5x – ny – 3 = 0 are perpendicular to each other. Find the relation connecting m and n.


If the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each other, find the value of p.


The line through A(−2, 3) and B(4, b) is perpendicular to the line 2x – 4y = 5. Find the value of b.


Find the slope of the lines passing through the given point.

 P (–3, 1) , Q (5, –2) 


Find the slope of the lines passing through the given point.

C (5, –2) , D (7, 3)


Determine whether the following point is collinear.
A(–1, –1), B(0, 1), C(1, 3)


Determine whether the given point is collinear.

A (0, 2), B (1, -0.5), C (2, -3)


Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the line joining the points C(2, 4) and D(1, 7).


Find the slope of a line passing through the given pair of points  (3,7) and (5,13)


Find the slope and the y-intercept of the following line 2x + 3y = 12


Verify whether the following points are collinear or not:

A(1, –3), B(2, –5), C(–4, 7). 


Find the slope of the line passing through the points M(4,0) and N(-2,-3).


Find the slope of the line passing through the points A(4,7) and B(2,3).


Find the value, of k, if the line represented by kx – 5y + 4 = 0 and 4x – 2y + 5 = 0 are perpendicular to each other.


Four alternative answers for the following question are given. Choose the correct alternative and write its alphabet:

Slope of X-axis is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×