English
Maharashtra State BoardSSC (English Medium) 10th Standard

From the Given Number Line, Find D(A, B):

Advertisements
Advertisements

Question

From the given number line, find d(A, B):

Sum
Advertisements

Solution

Distance formula = (x2 – x1)

d(A, B) = 3 – (–3)

= 3 + 3

= 6 units.

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Set 1

APPEARS IN

RELATED QUESTIONS

If A(5, 2), B(2, −2) and C(−2, t) are the vertices of a right angled triangle with ∠B = 90°, then find the value of t.


Find the values of y for which the distance between the points P (2, -3) and Q (10, y) is 10 units.


Find the distance between the following pair of points:

(a sin α, –b cos α) and (–a cos α, b sin α)


Find all possible values of y for which the distance between the points A(2, –3) and B(10, y) is 10 units.


Determine whether the point is collinear.

R(0, 3), D(2, 1), S(3, –1)


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


Show that the ▢PQRS formed by P(2, 1), Q(–1, 3), R(–5, –3) and S(–2, –5) is a rectangle.


Find the distance between the following pairs of point in the coordinate plane :

(13 , 7) and (4 , -5)


Find the coordinates of O, the centre passing through A( -2, -3), B(-1, 0) and C(7, 6). Also, find its radius. 


Show that the points (2, 0), (–2, 0), and (0, 2) are the vertices of a triangle. Also, a state with the reason for the type of triangle.


Find the distance between the origin and the point:
(8, −15)


Find the co-ordinates of points on the x-axis which are at a distance of 17 units from the point (11, -8).


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).


If the point (x, y) is at equidistant from the point (a + b, b – a) and (a-b, a + b). Prove that ay = bx.


Find distance between point A(–3, 4) and origin O.


Show that the point (0, 9) is equidistant from the points (–4, 1) and (4, 1).


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


The point P(–2, 4) lies on a circle of radius 6 and centre C(3, 5).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×