English

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

Advertisements
Advertisements

Question

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

Options

  • 6

  • 8

  • 4

  • 2

MCQ
Fill in the Blanks
Advertisements

Solution

The distance between the points A(0, 6) and B(0, –2) is 8.

Explanation:

Distance formula: d2 = (x2 – x1)2 + (y2 – y1)2

According to the question,

We have,

x1 = 0, x2 = 0

y1 = 6, y2 = – 2

d2 = (0 – 0)2 + ( – 2 – 6)2

d = `sqrt((0)^2 + (- 8)^2`

d = `sqrt(64)`

d = 8 units

Therefore, the distance between A(0, 6) and B(0, –2) is 8.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Coordinate Geometry - Exercise 7.1 [Page 78]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 10
Chapter 7 Coordinate Geometry
Exercise 7.1 | Q 2 | Page 78

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b, a + b). Prove that bx = ay.


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


If P and Q are two points whose coordinates are (at2 ,2at) and (a/t2 , 2a/t) respectively and S is the point (a, 0). Show that `\frac{1}{SP}+\frac{1}{SQ}` is independent of t.


Find the point on the x-axis which is equidistant from (2, -5) and (-2, 9).


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 of  the following points from the origin:

(ii) B(-5,5)


For what values of k are the points (8, 1), (3, –2k) and (k, –5) collinear ?


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


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

(7 , -7) and (2 , 5)


Find the distance between the following point :

(sin θ , cos θ) and (cos θ , - sin θ)


Prove that the following set of point is collinear :

(4, -5),(1 , 1),(-2 , 7)


Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.


Prove that the points (0,3) , (4,3) and `(2, 3+2sqrt 3)` are the vertices of an equilateral triangle.


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


Calculate the distance between A (7, 3) and B on the x-axis, whose abscissa is 11.


If the distance between point L(x, 7) and point M(1, 15) is 10, then find the value of x.


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


A circle drawn with origin as the centre passes through `(13/2, 0)`. The point which does not lie in the interior of the circle is ______.


What type of a quadrilateral do the points A(2, –2), B(7, 3), C(11, –1) and D(6, –6) taken in that order, form?


Read the following passage:

Use of mobile screen for long hours makes your eye sight weak and give you headaches. Children who are addicted to play "PUBG" can get easily stressed out. To raise social awareness about ill effects of playing PUBG, a school decided to start 'BAN PUBG' campaign, in which students are asked to prepare campaign board in the shape of a rectangle: One such campaign board made by class X student of the school is shown in the figure.

Based on the above information, answer the following questions:

  1. Find the coordinates of the point of intersection of diagonals AC and BD.
  2. Find the length of the diagonal AC.
    1. Find the area of the campaign Board ABCD.
      OR
    2. Find the ratio of the length of side AB to the length of the diagonal AC.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×