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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Select the correct option from the given alternatives: The line y = mx + 1 is a tangent to the parabola y2 = 4x, if m is _______ - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives:

The line y = mx + 1 is a tangent to the parabola y2 = 4x, if m is _______

पर्याय

  • 1

  • 2

  • 3

  • 4

MCQ
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उत्तर

1

Explanation;

y2 = 4x

Compare with y2 = 4ax

∴ a = 1

Equation of tangent is

y = mx + 1

Compare with y = `"m"x + "a"/"m"`

∴ `"a"/"m"` = 1

∴ a = m = 1

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Conic Sections - Parabola
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Conic Sections - Miscellaneous Exercise 7 [पृष्ठ १७६]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (1) | पृष्ठ १७६

संबंधित प्रश्‍न

Find co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola:

3x2 = 8y


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x2 = –8y


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3y2 = –16x


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For the parabola 3y2 = 16x, find the parameter of the point (27, –12).


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Find the area of the triangle formed by the line joining the vertex of the parabola x2 = 12y to the end points of latus rectum.


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