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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Ellipse

NDA 2017 · Mathematics · Ellipse

The position of the point (1,2) relative to the ellipse 2 x^2+7...

The position of the point (1,2)(1,2) relative to the ellipse 2x2+7y2=202 \mathrm{x}^2+7 \mathrm{y}^2=20 is

Options

  1. Aoutside the ellipse
  2. Binside the ellipse but not at the focus
  3. Con the ellipse
  4. Dat the focus

Correct answer

A. outside the ellipse

Step-by-step solution

Given ellipse, 2x2+7y2=202 \mathrm{x}^2+7 \mathrm{y}^2=20. Given point, (1,2)2(1)2+7(2)2−20=2+28−20=38−20=18>0. ∴(1,2)2(1)^2+7(2)^2-20=2+28-20=38-20=18 > 0 \text{. }\therefore Point is outside the ellipse.
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