Home
Class 12
MATHS
The possible values of a such that the e...

The possible values of `a` such that the equation `x^2+2a x+a=sqrt(a^2+x-1/(16))-1/(16),xgeq-a ,` has two distinct real roots are given by: (a) `[0,1]` (b) `[-oo,0]` (c) `[0,oo]` (d) `(3/4,oo)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The number of positive integral values of m , m le 16 for which the equation (x^(2) +x+1) ^(2) - (m-3)(x^(2) +x+1) +m=0, has 4 distinct real root is:

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^2-1))<0 holds for all x in (-1,3) is (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

If the equation a x^2+2x+a=0 has two distinct roots, if (a) a=+-1 (b) a=0 (c) a=0,\ 1 (d) a=-1,\ 0

The complete set of values of a so that equation sin^4 x+ a sin^2 x+ 4=0 has at least one real root is (A) (- oo, -5] (B) (- oo , 4] uu [ 4, oo) (C) (-oo, -4] (D) [4, oo)

If the root of the equation (a-1)(x^2-x+1)^2=(a+1)(x^4+x^2+1) are real and distinct, then the value of a in a. (-oo,3] b. (-oo,-2)uu(2,oo) c. [-2,2] d. [-3,oo)

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval a) (-oo,-4) (b) (-oo,0) c) (4,oo) (d) none of these

If lim_(x->oo) (sqrt(x^2-x+1)-ax-b)=0 then the value of a and b are given by:

Find the set of values of a for which the equation |x-1|^2+(a-1)|x-1|+1=0 has a solution, [2,5] b. [-3,-1] c. [0,oo) d. (-oo,-1]

If the difference between the roots of the equation x^(2)+ax+1=0 is less than sqrt(5) , then the set of possible values of a is (i) (3,oo) (ii) (-oo,-3) (iii) (-3,3) (iv) (-3,oo)

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4) (b) (-oo,0) (4,oo) (d) none of these