Challenger Question on Differential Equations | Task
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Загружено: 2020-10-12
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👉 Challenger Question on Differential Equations | Task #246 by Sachin Sir
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Q) A line is drawn from a point 𝑃(𝑥, 𝑦) on the curve 𝑦=𝑓(𝑥), making an angle with the 𝑥− axis which is supplementary to the one made by the tangent to the curve at 𝑃(𝑥, 𝑦). The line meets the 𝑥− axis at 𝐴. Another line perpendicular to it drawn from 𝑃(𝑥, 𝑦) meeting the y− axis at B. If 𝑂𝐴=𝑂𝐵, where 𝑂 is the origin, the equation of all curves which pass through (1, 1) is
a) 𝑥^2−𝑦^2+2𝑥𝑦+2=0
b) x^2−𝑦^2+2𝑥𝑦−2=0
c) 𝑥^2−𝑦^2+2𝑥𝑦+1=0
d) x^2−𝑦^2+2𝑥𝑦−1=0
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