Mathematics Tes...

Let p be the statement "x is an irrational number", q be the statment "y is a transcendental number", and r be the statement "x is a rational number iff y is a transcendental number".

The tangent to the curve √X + √y = 4 is equally inclined to the axes, then point of contact, is

The area bounded by the parabola's 

y² = 4a(x + a) and y² = –4a (x – a) is, (a > 0)

The general solution of the differential equation dy/dx = y tan x - y² sec x, is

(c is constant of integration)

 is equal to

then A⁶⁴ is

The minimum number of terms from the beginning of the series  so that the sum may exceed 1568, is

If the three linear equations x + 4ay + az = 0, x + 3by + bz = 0 and x + 2cy + cz = 0 have a non-trivial solution, then, (a, b, c ∈ R)

Four digit numbers are formed by using the digits 1, 2, ... 8 (repetition of digits is not allowed). One number from these four digit numbers is picked up at random. The probability that the selected number contains unity is