Mathematics Tes...

The coefficient of x⁵ in (1+2x+3x²+……….up to infinite term)^-3/2 is

Sum to the infinity of the series

If the progressions 3, 10, 17, ....... and 63, 65, 67, ....... are such that their n^th terms are equal, then n is equal to

If the latus rectum of a hyperbola through one focus, subtends 60 ° angle at the other focus, then its eccentricity is

Find the solution of the differential equation

given that y=4 at x=3

If the mean of a binomial distribution is 25, then its standard deviation lies in the interval

The equation of the normal to the ellipse  at the positive end of the latus rectum is

The tangent to the circle x² + y² = 5 at (1, − 2) also touches the circle x² + y² − 8x + 6y + 20 = 0. Then the point of contact is

The equation x³ – 3x + [a] = 0, will have three real and distinct roots if –
(where [ ] denotes the greatest integer function)