The range of `a` for which the equation `x^2+ax-4=0` has its smaller root in the interval `(-1,2)i s ` a. `(-oo,-3)` b. `(0,3)` c. `(0,oo)` d. `(-oo,-3)uu(0,oo)`

[ Suppose a in R .The set of values of a for which the quadratic equation x^(2)-2(a+1)x+a^(2)-4a+3=0 has two negative roots is [ (a) (-oo,-1), (b) (1,3) (c) (-oo,1)uu(3,oo), (d) phi]]

The real values of lambda for which the equation,4x^(3)+3x^(2)-6x+lambda=0 has two distinct real roots in [0,1] lie in the interval (A)(0,oo)(B)(3,oo)(C)(-5,(7)/(4))(D)[0,(7)/(4))

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

If the equation x^(3)-12x+a=0 has exactly one real root,then range of a is equal to (-oo,-16)uu(16,oo)( b) {-16,16}(-16,16)(d)(-oo,-16)uu[16,oo)

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

If the given equation: |x^(2)-2x-2|=m has two solutions,then a.m in[4,oo) b.m in(-1,) c.m in(4,oo)uu{0} d.m=0

The quadratic equation (a+3)x^(2)-ax+1=0 has two distinct real solutions a) for a in(-2,6) b) for a in(-oo,0)uu(7,oo) c) for a in(-oo,-2)uu(6,oo)-{-3} d) for a in(0,7)

[ (d) ak^(2)+2bk+cgt0 (4) If both the roots of the quadratic equation x^(2)-4ax+2a^(2)-3a+5 are less than 2, then a lies in the set (a) (9/2,oo) (b) (-oo,9/2) (c) (-1,oo) (d) (2,oo)]

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)