If `a lt b` and `c lt 0 -> a/b....... b/c`

If a lt b and clt0 , then (a)/(c)gt(b)/(c)

If a lt 0, b gt 0 and c lt 0 , then the point P(a, b, -c) lies in the octant

If a lt b lt c lt d and a , b , c , d are non-zero integers , the mean and median of a , b , c , d is 0 , then which of the following is correct ?

If ax^(2) + bx + c = 0 , a , b, c in R has no real roots, and if c lt 0, the which of the following is ture ? (a) a lt 0 (b) a + b + c gt 0 (c) a +b +c lt 0

If a and b are negative real numbers and c is a positive real number, then which of the following is/are correct? 1. a-b lt a-c 2. If a lt b , then (a)/(c ) lt (b)/(c ) . 3. (1)/(b) lt (1)/(c ) Select the correct answer using the code given below.

If 0 lt a lt b lt c and the roots alpha, beta of the equation ax ^(2)+bx+c=0 are imaginary, then

Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c gt 0 . If alpha and beta are roots of the equation ax^(2) + bx + c = 0 , then value of [alpha] + [beta] is

If a lt b lt c lt d then show that (x-a)(x-c)+3(x-b)(x-d)=0 has real and distinct roots.