`f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 ,` monotonically decreases in (a) `(76/9, 10]` (b) `(8, 76/9)` (c) `(0,8)` (d) `((76)/9, 10)`

Which of the following are co-primes? (a) 8, 10 (b) 9, 10 (c) 6, 8 (d) 15, 18

The number of abdominal segments in male and female cockroach is (a) 10, 10 (b) 9, 10 (c) 10, 11 (d) 8, 10

9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

Express the following as improper fractions : (a) (7) 3/4 (b) (5) 6/7 (c) (2) 5/6 (d) (10) 3/5 (e) (9) 3/7 (f) (8) 9/4

If f(x)=a-(x-3)^(8//9) , then the maximum value of f(x) is

A point on the parabola y^2=18 x at which the ordinate increases at twice the rate of the abscissa is (a)(2,6) (b) (2,-6) (c) (9/8,-9/2) (d) (9/8,9/2)

If 1/(8!)+1/(9!)=x/(10 !), find x

if 9^(x+2)=240+9^x , then x= (a) 0. 5 (b) 0.2 (c) 0.4 (d) 0.1

The number of real or complex solutions of x^(2)-6|x|+8=0 is (a) 6 (b) 7 (c) 8 (d) 9

If u_(n) = int_(0)^(pi/2) x^(n)sinxdx , then the value of u_(10) + 90 u_(8) is : (a) 9(pi/2)^(8) (b) (pi/2)^(9) (c) 10 (pi/2)^(9) (d) 9 (pi/2)^(9)