Mathematics Tes...

In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is

If the vertices P, Q, R of a triangle PQR are rational points, then which of the following points of the triangle PQR is not always a rational point?

\(\int \sqrt{\frac{\cos x-\cos ^{3} x}{1-\cos ^{3} x}} d x\) is equal to

If P(1, 0), Q(– 1, 0) and R(2, 0) are three given points, then the locus of point S, which satisfies the relation (SQ)² + (SR)² = 2(SP)², is (where SQ, SR and SP are line segments)

If

L(X, Y) = Square of the larger number,

S(X, Y) = Square of the smaller number,

MODD (X, Y) = Absolute value of the difference (X - Y) and

X * Y = Product of X and Y,

then the value of MODD [{L (1, 2) * S(1, - 3)}, {S(0, 2) * MODD (3, - 4)}] *MODD[{S(3, -1) * L(1, - 2)}, { MODD (1, 2) * L(1, 2)}] will be

The number of arbitrary constants in the solution of a differential equation of degree 2 and order 3 is

If A and B are two given sets, then A ∩(A∩B)^cis equal to

Find the period of the given function:

f(x) = tan(x/3) + sin(2x)

If f(x) = log (1 + x) - log (1 - x) and log (g(x)) = log (3x + x3) - log (1 + 3x2), then what is the value of f(g(x))?