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)`

If |x-1|>5, then x in(-4,6) b.x in[-4,6] c.x in(-oo,-4)uu(6,oo) d.x in(-oo,-4)uu[6,oo)

The equation x^(3)+px^(2)-px-1=0 has three distinct real reats if p in(-oo,lambda)uu(mu,oo). then | lambda+mu| is equal to

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

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

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)

For x^(2)-(a+3)|x|=4=0 to have real solutions,the range of a is (-oo,-7]uu[1,oo)(-3,oo)(-oo,-7][1,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]]

If alpha,beta are the roots of the quadratic equation (p^(2)+p+1)x^(2)+(p-1)x+p^(2)=0 such that unity lies between the roots then the set of values of p is (i) 0 (ii) p in(-oo,-1)uu(0,oo)( iii) p in(-1,oo) (iv) (-1,1)

For the equation cos^(-1)x+cos^(-1)2x+pi=0 ,the number of real solution is (A)1(B) 2 (C) 0 (D) oo

For x^(2)-(a+3)|x|+4=0 to have real solution,the range of a is (-oo,-7]uu[1,oo) b.(-3,oo) c.(-oo,-7)d*[1,oo)