Sets , Ex- 1.2 Complete

Let f (x) = {{:(2-|x ^(2) +5x +6|, x ne -2),( b ^(2)+1, x =-2):} Has relative maximum at x =-2, then complete set of values b can take is:

Assertion : Ex-albuminous seeds do not possess any residual endosperm, as it is completely consumed during embryo development., Reason : Wheat, castor, pea and groundnut are all the examples of ex-albuminous seeds.

Let the points A:(0, a), B:(-2, 0) and C:(1, 1) form an obtuse angled triangle (obtuse angled at angle A), then the complete set of values of a is

If x satisfies the inequality (tan^-1x)^2+3(tan^-1x)-4gt0 , then the complete set of values of x is

Let f(x)=a^x-xlna , a>1. Then the complete set of real values of x for which f'(x)>0 is

If 9-x^2>|x-a | has atleast one negative solution, where a in R then complete set of values of a is

If ((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt0 , then complete solution set of inequation is

If the trigonometric equation tan^(-1)x=2sin^(-1)a has a solution, then the complete set of values of a is

If both the roots of the equation x^(2)+(a-1) x+a=0 are positive, the the complete solution set of real values of a is

f : R -> R , where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of 'a' such that f (x) is onto, is