If the maximum value of y = a cos x - 1/3 cos 3x occurs when x = π/6, then the value of a is
The area contained between the curve xy = a2 , the vertical line x = a, x = 4a (a > 0) and x -axis is
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If z1 and z2 are two non-zero complex numbers such that | z1 + z2 | = | z1 | + | z2 | , then Arg z1 − Arg z2 is
The solution of the equation cosylog(secx+tanx)dx=cosxlog(secy+tany)dy is
The differential equation of family of lines which passes (1,-1) is
R is the set of real numbers and f : R → R and g : R are defined by f(x) = 3x2 + 2 and g(x) = 3x - 1 for all x ∈ R. Then
If A and B are two matrices such that AB=B and BA=A, then A2+B2=
If A and B are the matrices of same order such that AB = A and BA = B, then A and B are
How many words can be formed from the letters of the word COMMITTEE?
The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a student is absent twice, then the probability that the student will miss at least one test is
Two dice are thrown, the probability that the sum of the points on two dice will be 7 is
A sum of money is rounded off to the nearest rupee. The probability that round off error is at least ten paise is