The solution set of the inequality | x + 2 | − x x < 2 is
If 8 f ( x ) + 6 f 1 x = x + 5 and y = x 2 f ( x ) , then d y d x at x = − 1 is equal to
Number of integral roots of | x − 1 | x 2 − 2 = 2 is
The value of log 3 135 log 15 3 − log 3 5 log 405 3 is
Complete set of values of x satisfying inequality | | x − 1 | − 5 | < 2 x − 5 is
If − 4 ≤ x < 2 then | | x + 2 | − 3 | liesintheinterval
The domain of definition of f ( x ) = log x cos x , is ( 0 , π / 2 ) − { k } then k is
If g x = x 2 + x − 1 and g o f x = 4 x 2 − 10 x + 5 , then f 5 4 is equal to
The number of points on the real line where the function f(x) = log x 2 – 1 x – 3 is not defined is
If a 2 + b 2 + c 2 = 1 , then a b + b c + c a lies in the interval
Number of solutions of equation 4 x − 3 x − 1 2 = 3 x + 1 2 − 2 2 x − 1 is
Solution set of inequality log 1 / 2 x + log 3 x > 1 is
The solution set of the equation x log x ( 1 − x ) 2 = 9 , is
The value of 5 log 1 / 5 ( 1 / 2 ) + log 2 4 7 + 3 + log 1 / 2 1 10 + 2 21 is
Number of integers satisfying log x 4 x + 5 6 − 5 x < − 1 is
The value of N = log 5 250 log 50 5 − log 5 10 log 1250 5 is
I f f ( x ) = sin 2 x + cos 4 x cos 2 x + sin 4 x , t h e n f 2020 =
Number of integral values of x satisfying the inequality x 2 + 6 x − 7 | x + 2 | | x + 3 | < 0 is
Number of solutions of the equation | 2 − | x ∥ = x + 4 is
The complete solution set of the equation x 2 − 5 x + 6 + x 2 + 12 x + 27 = | 17 x + 21 | is
If x 2 − 2 x + 2 − 2 x 2 − 5 x + 2 = x 2 − 3 x , then the set of values of x is
7 log 16 15 + 5 log 25 24 + 3 log 81 80 is equal to
If log 4 5 = a and log 5 6 = b , then log 2 3 is equal to
If a x = b , b y = c , c z = a , then value of xyz is
Let f ( n ) = 1 + 1 2 + 1 3 + … + 1 n , then ( f ( 1 ) + f ( 2 ) + f ( 3 ) + … + f ( n )
If f ( x ) = 5 x 5 + 5 x , then the value of f 1 20 + f 2 20 + … + f 39 20 is
If f ( x ) = log [ x − 1 ] | x | x , where [.] denotes the greatest integer function, then
