If the equation `a x^2+b x+c=0,a ,b ,c , in R` have none-real roots, then a.`c(a-b+c)>0` b. `c(a+b+c)>0` c. `c(4a-2b+c)>0` d. none of these

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a common root, then a:b:c is

If the equations a x^2+b x+c=0a n dx^3+3x^2+3x+2=0 have two common roots, then a. a=b=c b. a=b!=c c. a=-b=c d. none of these

The equation 4ax^2 + 3bx + 2c = 0 where a, b, c are real and a+b+c = 0 has

If the equation a x^2+b x+c=x has no real roots, then the equation a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x will have a. four real roots b. no real root c. at least two least roots d. none of these

If ax^2 + bx + c = 0, a, b, c in R has no real zeros, and if a + b + c + lt 0, then

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 are a. real and negative b.have negative real parts c. have positive real parts d. None of the above

Solve the equation |a-x c b c b-x a b a c-x|=0w h e r ea+b+c!=0.

If a ,b ,c in R and equations a x^2+b x+c=0a n dx^2+2x+9=0 have a common a rot, then find a : b : c dot

If a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a. 6 real roots b. at least 2 real roots c. 4 real roots d. none of these

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these