English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find the Distances Between the Following Point. P(–6, –3), Q(–1, 9) - Geometry Mathematics 2

Advertisements
Advertisements

Question

Find the distances between the following point.

P(–6, –3), Q(–1, 9) 

Advertisements

Solution

 P(–6, –3), Q(–1, 9)

\[PQ = \sqrt{\left( - 6 - \left( - 1 \right) \right)^2 + \left( - 3 - 9 \right)^2}\]

\[ = \sqrt{25 + 144}\]

\[ = \sqrt{169}\]

\[ = 13\]

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Co-ordinate Geometry - Problem Set 5 [Page 122]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 10 Maharashtra State Board
Chapter 5 Co-ordinate Geometry
Problem Set 5 | Q 6.2 | Page 122

RELATED QUESTIONS

Find the distance between two points

(i) P(–6, 7) and Q(–1, –5)

(ii) R(a + b, a – b) and S(a – b, –a – b)

(iii) `A(at_1^2,2at_1)" and " B(at_2^2,2at_2)`


If two vertices of an equilateral triangle be (0, 0), (3, √3 ), find the third vertex


Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.


In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Champa and Chameli walk into the class and after observing for a few minutes, Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees.

Using distance formula, find which of them is correct.


If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?


Prove that the points A(1, 7), B (4, 2), C(−1, −1) D (−4, 4) are the vertices of a square.


Find the distance between the points

A(-6,-4) and B(9,-12)


Determine whether the points are collinear.

P(–2, 3), Q(1, 2), R(4, 1)


Show that the points A(1, 2), B(1, 6), C(1 + 2`sqrt3`, 4) are vertices of an equilateral triangle.


Find the distance of the following point from the origin :

(0 , 11)


Find the distance of a point (12 , 5) from another point on the line x = 0 whose ordinate is 9.


Find the distance between P and Q if P lies on the y - axis and has an ordinate 5 while Q lies on the x - axis and has an abscissa 12 .


By using the distance formula prove that each of the following sets of points are the vertices of a right angled triangle.
(i) (6, 2), (3, -1) and (- 2, 4)
(ii) (-2, 2), (8, -2) and (-4, -3).


Show that the points (0, –1), (8, 3), (6, 7) and (– 2, 3) are vertices of a rectangle.


The distance between the points A(0, 6) and B(0, –2) is ______.


The points (– 4, 0), (4, 0), (0, 3) are the vertices of a ______.


∆ABC with vertices A(–2, 0), B(2, 0) and C(0, 2) is similar to ∆DEF with vertices D(–4, 0), E(4, 0) and F(0, 4).


Name the type of triangle formed by the points A(–5, 6), B(–4, –2) and C(7, 5).


The points A(–1, –2), B(4, 3), C(2, 5) and D(–3, 0) in that order form a rectangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×