मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • 12

  • 8

  • `sqrt(96)`

  • 20

MCQ
Advertisements

उत्तर

8

Explanation:

Given that, Point Q is between point P and point R.

We have, d(P, Q) = 2; d(P, R) = 10

Now, d(P, R) = d(P, Q) + d(Q, R)

∴ d(Q, R) = d(P, R) - d(P, Q)

∴ d(Q, R) = 10 - 2

∴ d(Q, R) = 8

shaalaa.com
Co-ordinates of Points and Distance
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Basic Concepts in Geometry - Problem set 1 [पृष्ठ ११]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 1 Basic Concepts in Geometry
Problem set 1 | Q 1. (v) | पृष्ठ ११

संबंधित प्रश्‍न

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

x = 1, y = 7


On a number line, co-ordinates of P, Q, R are 3, -5 and 6 respectively. State with reason whether the following statement is true or false.

d(P, R) + d(R, Q) = d(P, Q)


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

- 4, 5


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

0, - 2


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

x + 3, x - 3


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

- 25, - 47


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

80, - 85


Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.


Find the distance between the following pair of points

(3, 4) and (−7, 2)


Find the distance between the following pair of points

(a, b) and (c, b)


Determine whether the given set of points are collinear or not

(7, −2), (5, 1), (3, 4)


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)


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

A(1, 1), B(2, 1), C(2, 2) and D(1, 2)


A(−1, 1), B(1, 3) and C(3, a) are point and if AB = BC, then find ‘a’


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 point (5, −1) and the origin is _________ 


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

d(K, O)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×