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The Equation 16x2 + Y2 + 8xy − 74x − 78y + 212 = 0 Represents - Mathematics

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प्रश्न

The equation 16x2 + y2 + 8xy − 74x − 78y + 212 = 0 represents 

पर्याय

  • a circle 

  • a parabola 

  •  an ellipse 

  •  a hyperbola 

MCQ

उत्तर

a parabola
Comparing the given equation with ax2 + by2 + 2hxy + 2gx+2fy + c =0, we get: 

\[a = 16, b = 1, h = 4\] 

We have: 

\[h^2 = 16 = ab\] 

Thus, the given equation represents a parabola.

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पाठ 25: Parabola - Exercise 25.3 [पृष्ठ २९]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 25 Parabola
Exercise 25.3 | Q 14 | पृष्ठ २९

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