Home
Class 12
MATHS
If 3(a+2c)=4(b+3d), then the equation a ...

If `3(a+2c)=4(b+3d),` then the equation `a x^3+b x^2+c x+d=0` will have no real solution at least one real root in `(-1,0)` at least one real root in `(0,1)` none of these

A

no real solution

B

atleast one real root in (-1, 0)

C

atleast one real root in (0,1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have (a) no real solution (b) at least one real root in (-1,0) (c) at least one real root in (0,1) (d) none of these

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 a+b+2c=0, c!=0, then equation ax^2+bx+c=0 has (A) at least one root in (0,1) (B) at least one root in (0,2) (C) at least on root in (-1,1) (D) none of these

If a,b,c in R and a+b+c=0, then the quadratic equation 3ax^2+2bx+c=0 has (a) at least one root in [0, 1] (b) at least one root in [1,2] (c) at least one root in [3/2, 2] (d) none of these

Let f(x)= 3/(x-2)+4/(x-3)+5/(x-4) . Then f(x)=0 has (A) exactly one real root in (2,3) (B) exactly one real root in (3,4) (C) at least one real root in (2,3) (D) none of these

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

If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one real root.

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

Let a ,b , c in R such that no two of them are equal and satisfy |(2a, b, c),( b, c,2a), (c, 2a, b)|=0, then equation 24 a x^2+8b x+4c=0 has (a) at least one root in [0,1] (b) at least one root in [-1/2,1/2] (c) at least one root in [-1,0] (d) at least two roots in [0,2]

If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one real lying in the interval