IF `a=2` & `b=5 ` then `(x+a)(x+b)` is equal to:

If the function f(x)={{:(,-x,x lt 1),(,a+cos^(-1)(x+b),1 le xle 2):} is differentiable at x=1, then (a)/(b) is equal to

If A={2,3} B={4,5} then A X B is equal to

The function f(x)=e^(x^(3)-6x^(2)+10) attains local extremum at x = a and x = b (a < b), then the value of a+b is equal to

If x = 13 + 2sqrt(42) , then sqrt(x) + (1)/(sqrt(x)) is equal to asqrt(b) then find the value of b - a ?

Let f(x)=a+2b cos^(-1)x, b gt0 . If domain and range of f(x) are the same set, then (b-a) is equal to :

The area bounded by the X-axis, the cure y = f(x) and the lines x = 1 and x = b is equal to sqrt(b^(2)+1)-sqrt(2) for all b gt 1 then f(x) is

If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d , then (b-d)/(c-a) is equal to

4 a 2 b 3 x 3a b 2 x 5 a 3 b is equal to: (a) 60 a 3 b 5 (b) 60 a 6 b 5 (c) 60 a 6 b 6 (d) a 6 b 5

If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) , then f^(prime)(x) is equal to: (a) 1 (b) 0 (c) x^(a+b+c) (d) None of these

The area bounded by the x-axis the curve y = f(x) and the lines x = a and x = b is equal to sqrt(b^(2) - a^(2)) AA b > a (a is constant). Find one such f(x).