English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find the Distances Between the Following Point. A(A, 0), B(0, A)

Advertisements
Advertisements

Question

Find the distances between the following point.
A(a, 0), B(0, a)

Answer in Brief
Advertisements

Solution

A(a, 0), B(0, a)

\[AB = \sqrt{\left( 0 - a \right)^2 + \left( a - 0 \right)^2}\]

\[ = \sqrt{a^2 + a^2}\]

\[ = \sqrt{2 a^2}\]

\[ = a\sqrt{2}\]

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

APPEARS IN

Balbharati Geometry Mathematics 2 [English] Standard 10 Maharashtra State Board
Chapter 5 Co-ordinate Geometry
Problem Set 5 | Q 6.1 | Page 122

RELATED QUESTIONS

If A(4, 3), B(-1, y) and C(3, 4) are the vertices of a right triangle ABC, right-angled at A, then find the value of y.


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


Find the values of x, y if the distances of the point (x, y) from (-3, 0)  as well as from (3, 0) are 4.


If A (-1, 3), B (1, -1) and C (5, 1) are the vertices of a triangle ABC, find the length of the median through A.


Find the distance between the points

(i) A(9,3) and B(15,11)

 


Find the distance between the points:

P(a + b, a - b) and Q(a - b, a + b)


Find the distance of the following points from the origin:

(i) A(5,- 12)


Using the distance formula, show that the given points are collinear:

(-1, -1), (2, 3) and (8, 11)


Using the distance formula, show that the given points are collinear:

(-2, 5), (0,1) and (2, -3)


If P (x , y )  is equidistant from the points  A (7,1)  and B (3,5) find the relation between x and y


Find the distance between the following pair of points.

R(0, -3), S(0, `5/2`)


The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is ______.


Find the distance between the following point :

(sin θ , cos θ) and (cos θ , - sin θ)


In what ratio does the point P(−4, y) divides the line segment joining the points A(−6, 10) and B(3, −8)? Hence find the value of y.


What point on the x-axis is equidistant from the points (7, 6) and (-3, 4)?


KM is a straight line of 13 units If K has the coordinate (2, 5) and M has the coordinates (x, – 7) find the possible value of x.


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


If the distance between the points (4, P) and (1, 0) is 5, then the value of p is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×