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Slope of a line which cuts off intercepts of equal lengths on the axes is ______. - Mathematics

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Question

Slope of a line which cuts off intercepts of equal lengths on the axes is ______.

Options

  • – 1

  • – 0

  • 2

  • `sqrt(3)`

MCQ
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Solution

Slope of a line which cuts off intercepts of equal lengths on the axes is – 1.

Expllanation:

Intercept form of a line is `x/a + y/b` = 1

⇒ `x/a + y/a` = 1   .......(∵ a = b)

⇒ x + y = a

⇒ y = – x + a

∴ Slope is – 1

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Chapter 10: Straight Lines - Exercise [Page 180]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 10 Straight Lines
Exercise | Q 23 | Page 180

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