हिंदी

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

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प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

Explanation:

The co-ordinates of points P, Q and R is 3, −5 and 6 respectively.

We know that 3 > −5

∴ d(P, Q) = 3 − (−5)

∴ d(P, Q) = 3 + 5 

∴ d(P, Q) = 8

We know that 6 > −5

∴ d(Q, R) = 6 − (−5)

∴ d(Q, R) = 6 + 5

∴ d(Q, R) = 11

We know that 6 > 3

∴ d(P, R) = 6 − 3 

∴ d(P, R) = 3

∴ d(P, Q) - d(P, R)

= 8 - 3

= 5

But d(Q, R) = 11

So, d(P, Q) - d(P, R) ≠ d(Q, R)

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Co-ordinates of Points and Distance
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Basic Concepts in Geometry - Problem set 1 [पृष्ठ ११]

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

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