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Select the correct option from the given alternatives: If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then 1a+1b = - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives:

If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then `1/"a" + 1/"b"` =

विकल्प

  • −1

  • 0

  • 1

  • `1/"ab"`

MCQ

उत्तर

1

Explanation;

Line passes through (a, 0), (0, b).

∴ x-intercept = a, y-intercept = b

∴ Equation of line is `x/"a" + y/"b"` = 1   ...(i)

Since line (i) passes through (1, 1), (1, 1) satisfies (i)

∴ `1/"a" + 1/"b"` = 1

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Equations of Line in Different Forms
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Straight Line - Miscellaneous Exercise 5 [पृष्ठ १२४]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 5 Straight Line
Miscellaneous Exercise 5 | Q I. (2) | पृष्ठ १२४

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