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

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

d (Q, B)


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

x = 4, y = - 8


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) = ?


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

If R-S-T and l(ST) = 3.7, l(RS) = 2.5, then l(RT) = ?


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

If X-Y-Z and l(XZ) = `3sqrt7`, l(XY) = `sqrt7`, then l(YZ) = ?


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


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

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


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

-9, -1


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


If A-B-C and d(A, C) = 17, d(B, C) = 6.5 then d(A, B) = ?


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

`"A"(sqrt(3), 2), "B"(0, 1), "C"(0, 3)`


Show that the following points taken in order to form the vertices of a parallelogram

A(−3, 1), B(−6, −7), C(3, −9) and D(6, −1)


The radius of a circle with centre at origin is 30 units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.


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


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

d(J, A)


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

d(P, C)


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

d(J, H)


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

d(K, O)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×