In a square matrix A = [a ij ] of order 3, a ii = m i + i, where i = 1, 2, 3 \(m^\prime_i\) s are slopes (|M 1 | < |M 2 | < |M 3 |) of the 3 normals concurrent at the point (9, - 6) to the parabola y 2 = 4x. Rest of all other entries are one. The value of tr. (A) is equal to:

Parabola

Grade None

Question:

In a square matrix A = [aij] of order 3, aii = mi + i, where i = 1, 2, 3 \(m^\prime_i\)s are slopes (|M1| < |M2| < |M3|) of the 3 normals concurrent at the point (9, - 6) to the parabola y2 = 4x. Rest of all other entries are one. The value of tr. (A) is equal to:

-6

-3

3

6

Step-by-Step Solution

Key Concept: Determine the trace by finding the roots of the cubic equation generated by the condition of concurrent normals to the parabola and ordering those roots by their absolute values.

6

Correct Answer: D

Question:

Step-by-Step Solution

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