PYQ-Style Mixed

by Notetube Official•25 questions•mixed•10 views

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1.
(JEE Pattern) If A is a square matrix such that A^2 = I, then A^(-1) is:
2.
(JEE Pattern) The number of values of k for which the system kx + y + z = 1, x + ky + z = 1, x + y + kz = 1 has no solution is:
3.
(JEE Pattern) |1 log_a(b) log_a(c); log_b(a) 1 log_b(c); log_c(a) log_c(b) 1| equals:
4.
(JEE Pattern) Let A = [[cos t, -sin t], [sin t, cos t]]. Then A^n equals:
5.
(JEE Pattern) If A is a 3x3 matrix and det(A) = 7, then det(3adj(A)) equals:

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