IAT (IISER) 2025 | Ellipse Question 1 | Mathematics

Let $\ell$ be the tangent line to the ellipse $x^2+16 y^2=4$ at $\left(1, \frac{\sqrt{3}}{4}\right)$. What is the equation of the line perpendicular to $\ell$ passing through $(2,0)$ ?

$\quad y=4 \sqrt{3}(x-2)$

$\quad y=2 \sqrt{3}(x-2)$

$\quad y=\sqrt{3}(x-2)$

$\quad 4 \sqrt{3} y=(x-2)$

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Cell - The Unit of Life Biomolecules Cell Cycle and Cell Division Sexual Reproduction in Flowering Plants Microbes in Human Welfare Anatomy of Flowering Plants Mineral Nutrition Respiration in Plants Biotechnology: Principles and Processes Biodiversity and Conservation Morphology of Flowering Plants Photosynthesis in Higher Plants Principles of Inheritance and Variation Molecular Basis of Inheritance Organisms and Populations Ecosystem

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