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JEE Main202524 Jan 2025Evening ShiftMathematicsEllipseActual

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

Options

A48 x+25 y=169
B5 x+16 y=31
C25 x+101 y=176
D4 x+122 y=134

Correct answer

A. 48 x+25 y=169

Step-by-step solution

Equation of chord with given middle point aligned & T=S₁ & 3 x 25 + y 16 -1= 9 25 + 1 16 -1 & 48 x +25 y =144+25 & 48 x +25 y =169 Ans. aligned

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