हिंदी

The intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axis are -2,43,-45.

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प्रश्न

The intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axis are `-2, 4/3, - 4/5`.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is True.

Explanation:

First let’s convert the given equation to intercept form i.e. `x/a + y/b + z/c` = 1

Where, a, b and c are x, y and z intercepts respectively!

Given, 2x – 3y + 5z + 4 = 0

⇒ – 2x + 3y – 5z = 4

Dividing by 4 both side

⇒ `X/(-2) + Y/(4/3) + Z/(4/(-5))` = 1

On comparing, we have intercepts as `-2, 4/3, -4/5`

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अध्याय 12: Introduction to Three Dimensional Geometry - Exercise [पृष्ठ २३९]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 12 Introduction to Three Dimensional Geometry
Exercise | Q 43 | पृष्ठ २३९

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