Find the distance with the help of the number line given below. d (Q, B)

Find the distance with the help of the number line given below.

d (Q, B)

Sum

It is known that the distance between the two points is obtained by subtracting the smaller co-ordinate from the larger co-ordinate.

The co-ordinates of points Q and B are −5 and 2 respectively.

But 2 > −5

∴ d (Q, B) = 2 − (−5)

∴ d (Q, B) = 2 + 5

∴ d (Q, B) = 7

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Co-ordinates of Points and Distance

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Chapter 1: Basic Concepts in Geometry - Practice set 1.1 [Page 5]

Chapter 1 Basic Concepts in Geometry
Practice set 1.1 | Q 1. (viii) | Page 5

If the co-ordinate of A is x and that of B is y, find d(A, B).

x = 6, y = - 2

If the co-ordinate of A is x and that of B is y, find d(A, B).

x = -3, y = -6

Sketch proper figure and write the answer of the following question.

If A- B - C and l(AC) = 11, l(BC) = 6.5, then l(AB) = ?

If P - Q - R and d(P, Q) = 2, d(P, R) = 10, then find d(Q, R).

Co-ordinates of the pair of a point is given below. Hence find the distance between the pair.

3, 6

Co-ordinates of the pair of points are given below. Hence find the distance between the pair.

- 4, 5

Find the distance between the following pair of points

(3, −9) and (−2, 3)

Determine whether the given set of points are collinear or not

(7, −2), (5, 1), (3, 4)

Show that the following points taken in order to form an equilateral triangle

`"A"(2, 2), "B"(-2, -2), "C"(-2sqrt(3), 2sqrt(3))`

Verify that the following points taken in order to form the vertices of a rhombus

A(3, −2), B(7, 6), C(−1, 2) and D(−5, −6)

Let A(2, 3) and B(2, −4) be two points. If P lies on the x-axis, such that AP = `3/7` AB, find the coordinates of P.

Show that the point (11, 2) is the centre of the circle passing through the points (1, 2), (3, −4) and (5, −6)

The point whose ordinate is 4 and which lies on the y-axis is _______________

The distance between the two points (2, 3) and (1, 4) is ______

If the points A(2, 0), B(– 6, 0), C(3, a – 3) lie on the x-axis then the value of a is _____