Home
Class 12
MATHS
Let f(x)=ax^3+bx^2+cx+1 has exterma at ...

Let `f(x)=ax^3+bx^2+cx+1` has exterma at `x=alpha,beta` such that `alpha beta < 0 and f(alpha) f(beta) < 0` f . Then the equation `f(x)=0` has (a)three equal real roots (b)one negative root if `f(alpha)` < `0 and f(beta)` >0 (c)one positive root if `f(alpha)` < `0 and f(beta)` >0 (d) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

ax^2 + bx + c = 0(a > 0), has two roots alpha and beta such alpha 2, then

ax^2 + bx + c = 0(a > 0), has two roots alpha and beta such alpha 2, then

ax^2 + bx + c = 0(a > 0), has two roots alpha and beta such alpha 2, then

If (x + 2)(x + 3b) = c has roots alpha,beta , then the roots of (x + alpha)(x+beta) + c = 0 are

If f is a real valued function given by f(x)=27 x^3+1/(x^3)a n dalpha,beta are roots of 3x+1/x=2. Then, f(alpha)=f(beta)=-9 (b) f(alpha)=10 (c) f(beta)=-10 (d) none of these

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

Let f(x)=ax^(5)+bx^(4)+cx^(3)+dx^(2)+ ex , where a,b,c,d,e in R and f(x)=0 has a positive root. alpha . Then,

Let f(x)=ax^(2)+bx+c , g(x)=ax^(2)+qx+r , where a , b , c , q , r in R and a lt 0 . If alpha , beta are the roots of f(x)=0 and alpha+delta , beta+delta are the roots of g(x)=0 , then

If alpha beta( alpha lt beta) are two distinct roots of the equation. ax^(2)+bx+c=0 , then

In the quadratic equation ax^2 + bx + c = 0 , if Delta = b^2-4ac and alpha + beta, alpha^2 + beta^2, alpha^3 + beta^3 are in GP. where alpha, beta are the roots of ax^2 + bx + c =0 , then