Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyConic Sections

Find the latus rectum of the conic (3x+4y-4)^2=4(4x-3 y+1).
'kkado (3x+4y-4)^2=4(4x-3 y+1)

Show answer and solution
(3x+1y−15)2=45(4x−3y+15)\left( \frac{3x + 1y - 1}{5} \right)^{2} = \frac{4}{5}\left( \frac{4x - 3y + 1}{5} \right)
L⋅R=45L \cdot R = \frac{4}{5}

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx

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