हिंदी

Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Let P(3, 4), Q(5, k).
Slope of PQ = 9          …[Given]

∴ `("k" - 4)/(5 - 3)` = 9

∴ `("k" - 4)/2` = 9

∴ k – 4 = 18
∴ k = 22.

shaalaa.com
Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Locus and Straight Line - Miscellaneous Exercise 5 [पृष्ठ ७९]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
अध्याय 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 3. (a) | पृष्ठ ७९

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 following lines which pass through the point: (7, 1), (– 3, 1)


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: (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 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).


Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.


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×