Mathematics Tes...

The set of all values of 'a' for which the equation cos 2x + a sin x = 2a – 7 has a solution is

Negation of "If India wins the match then India will reach in the final" is :-

If ax² – bx + 5 = 0 does not have two different real roots, then the minimum value of 5a + b will be

The first term in 15^th row will be

|z – 2 – 3i|² + |z – 4 – 3i|² = λ represents the equation of a circle with least radius, then λ = ?

Bag A contains 4 green and 3 red balls and Bag B contains 4 red and 3 green balls. One bag is taken at random and a ball is drawn and noted that it is green then the probability that is comes from Bag B is :-

and det(A) = det(4I), where I is 3 × 3 identity matrix, then (a – b)³ + (b – c)³ + (c – a)³ can be equal to -

The coefficient of t⁵⁰ in (1 + t²)²⁵ (1 + t²⁵) (1 + t⁴⁰) (1 + t⁴⁵) (1 + t⁴⁷) is

is a continuous function ∀ x ∈ R and a, b, c are non negative integers then the value of a + b + c is :-

 ln(f(x)) + g(x) + C

where C is the constant of integration and f (x) is positive, then  f (x) + g (x) has the value equal to