Ellipse
Ellipse
nta_pyq_2025_jan
Grade 11
Question:
The equation of the chord, of the ellipse 2 y , whose mid-point is (3, 1) is : x + = 1 25 16
48x + 25y = 169
5x + 16y = 31
25x + 101y = 176
4x + 122y = 134 2
Step-by-Step Solution
Key Concept: Apply the core result for ellipse parameters and tangents and simplify using the given constraints.
Equation of chord with given middle point (1) T = S1 3x y 9 1 \Rightarrow + - 1 = + - 1 25 16 25 16 48x + 25y = 144 + 25 48x + 25y = 169 Ans.
Correct Answer: 1