English

The line 3โข๐‘ฅ โˆ’2๐‘ฆโ€‹ = 10 passes through the point (2, โˆ’4); is this statement true?

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Question

The line `3x - 2/y`โ€‹ = 10 passes through the point (2, −4); is this statement true?

Options

  • no

  • yes

  • neither true nor false

  • none of the above

MCQ
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Solution

No

Explanation:

Substituting value of point in L.H.S. of the equation `3x - 2/yโ€‹` = 10, we get :

⇒ `3x - 2/yโ€‹ = 3 × 2 - (-4)/2`โ€‹ 

= 6 − (−2)

= 6 + 2

= 8.

Since,

8 ≠ 10.

∴ The statement, line `3x - 2/yโ€‹`โ€‹ = 10 passes through the point (2, −4) is false.

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Chapter 14: Equation of a Line - EXERCISE 14 (A) [Page 183]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Line
EXERCISE 14 (A) | Q 1. (c) | Page 183
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