Mathematics Syllabus (JEE Main)
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Q. If h(x) = x^3 - 3x, what is the value of h(1)?
Q. If I = (1, 1, 1) and J = (2, 2, 2), what is the scalar product I · J?
Q. If I = (1, 2, 3) and J = (3, 2, 1), what is I · J?
Q. If I = (1, 2, 3) and J = (4, 5, 6), calculate I · J.
Q. If I = (a, b, c) and J = (2, 2, 2) such that I · J = 12, what is the relationship between a, b, c?
Q. If K = {a, b, c}, what is the number of subsets of K that do not contain the element 'a'?
Q. If log(x) + log(2) = 3, what is the value of x?
Q. If log_10(2) = a, what is log_10(20) in terms of a?
Q. If log_10(x) = 2, what is the value of x?
Q. If log_2(x + 1) - log_2(x) = 1, what is the value of x?
Q. If log_2(x + 1) = 3, what is the value of x?
Q. If log_2(x) + log_2(4) = 5, find x.
Q. If log_2(x) + log_2(x - 3) = 3, what is the value of x?
Q. If log_2(x) + log_2(x-1) = 3, what is the value of x?
Q. If log_2(x) = 5, what is the value of x?
Q. If log_3(9) + log_3(27) = x, what is the value of x?
Q. If log_3(9) = x, what is the value of x?
Q. If log_3(x + 1) = 2, what is the value of x?
Q. If log_3(x) + log_3(4) = 2, find x.
Q. If log_3(x) = 2, what is the value of x?
Q. If log_4(64) = x, what is the value of x?
Q. If log_4(x) = 1/2, what is the value of x?
Q. If log_4(x) = 2, what is the value of x?
Q. If log_4(x) = 3, find x.
Q. If log_4(x) = 3, what is the value of x?
Q. If log_5(25) + log_5(5) = x, what is the value of x?
Q. If log_5(25) = x, then what is the value of log_5(125) in terms of x?
Q. If log_5(25) = x, what is the value of log_5(5^x)?
Q. If log_5(25) = x, what is the value of x?
Q. If log_5(x) = 1/2, what is the value of x?