The equation of the chord, of the ellipse 25 x 2 + 16 y 2 = 1 , whose mid-point is ( 3 , 1 ) is :

Equation of chord with given middle point T = S 1 ⇒ 25 3 x + 16 y − 1 = 25 9 + 16 1 − 1 48 x + 25 y = 144 + 25 48 x + 25 y = 169 Ans.

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MathematicsEllipseChord with given Middle PointMedium2 minPYQ_2025

MathematicsMediumstatement

The equation of the chord, of the ellipse $\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1$ , whose mid-point is $(3, 1)$ is :

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Solution:

Equation of chord with given middle point $T = S_{1} \Rightarrow \frac{3 x}{25} + \frac{y}{16} - 1 = \frac{9}{25} + \frac{1}{16} - 1 48 x + 25 y = 144 + 25 48 x + 25 y = 169 Ans.$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Chord with given Middle Point

⏱ 2mℹ️ Source: PYQ_2025

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