The locus of the vertices of the family of parabola y= a^ 3 x^ 2 3 + a^ 2 x 2 -2 a is,
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The locus of the vertices of the family of parabola \(y=\frac{a^{3} x^{2}}{3}+\frac{a^{2} x}{2}-2 a\) is,
- \(x y=\frac{64}{105}\)
- \(x y=\frac{105}{64}\)
- \(x y=\frac{3}{4}\)
- \(x y=\frac{35}{16}\)
Answer
(A) x y= 64 105
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