The number of roots of `x^3-3 x+1=0` in [1,2] is /are ; (i) one (ii) two (iii) three (iv) none of these

The number of solutions of the equations 2x - 3y = 5, x+2y=7 is (i) 1 (ii)2 (iii)4 (iv) 0

Lt_(xto0)(|sinx|)/(x) is equal to (i) 1 (ii) -1 (iii) does not exist (iv) none of these

The number of zeroes that polynomial f(x) = (x-2)^(2)+4 can have is : (i)1 (ii) 2 (iii) 0 (iv) 3

If 3^(2 log_3 x)-2x-3=0, then the number of values of 'x' satisfying the equation is (i)0 (ii)1 (iii)2 (iv)more than 2

Lt_(x to (3)/(2))[x] is equal to (i) 1 (ii) -1 (iii) 2 (iv) does not exist

Choose the most appropriate answer. The number of nuclei present in a zygote is (i) none (ii) one (iii) two (iv) four

If f(x)=max{x^(2),2^(x)}, then if x in(0,1),f(x)=(i)x (ii) 2^(x) (iii) Both are equal (iv) none of these

Find the value of a for the equation x^(2)+a|x|+1=0 has (i) no roots (ii) two roots (iii) 3 roots (iv) 4 roots

Examine f:R rarr R ,f(x) =x^3 +1 functions if it is (i) injective (ii) surjective, (iii) bijective and (iv) none of the three.

The range of f(x)=sin^(-1)x+sqrt(x) is (i) R(ii)(0,oo)(iii)(0,1) (iv) none of these