Paragraph: Tangents are drawn from the point P ( 3 , 4 ) to the ellipse 9 x 2 + 4 y 2 = 1 touching the ellipse at points A and B . Question: The equation of the locus of the point whose distance f

Question

Paragraph: Tangents are drawn from the point P ( 3 , 4 ) to the ellipse 9 x 2 ​ + 4 y 2 ​ = 1 touching the ellipse at points A and B . Question: The equation of the locus of the point whose distance from the point P and the line A B are equal, is

TestHub · Accepted Answer

Equation of A B is y − 0 = − 3 1 ​ ( x − 3 ) x + 3 y − 3 = 0 ∣ x + 3 y − 3 ∣ 2 = 10 [ ( x − 3 ) 2 + ( y − 4 ) 2 ] ​ (Look at coefficient of x 2 and y 2 in the answers)

Mathematics - Ellipse Question with Solution | TestHub

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