Home
Class 11
MATHS
Let S be the set of all non-zero real nu...

Let `S` be the set of all non-zero real numbers such that the quadratic equation `alphax^2-x+alpha=0` has two distinct real roots `x_1a n dx_2` satisfying the inequality `|x_1-x_2|<1.` Which of the following intervals is (are) a subset (s) of `S ?` `(1/2,1/(sqrt(5)))` b. `(1/(sqrt(5)),0)` c. `(0,1/(sqrt(5)))` d. `(1/(sqrt(5)),1/2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let S be the set of all non-zero numbers alpha such that the quadratic equation alpha x^(2)-x+alpha=0 has two distinct real roots x_(1), and x_(2) satisfying the inequality |x_(1)-x_(2)|<1 which of the following intervals is(are) a subset of S?

Let b be a non-zero real number. Suppose the quadratic equation 2x^2+bx+1/b = 0 has two distinct real roots. Then

Let S be the set of all real values of alpha such that the second degree equation in x,x^(2)-2 alpha x+alpha^(2)-2 alpha-1=0 has two distinct real roots p and q satisfying condition (1)/(2)((p-q)^(2)-2)/((p+q)+2) is an integer,then number of elements in set S, is

If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct roots then

The value of p for which the quadratic equation 2px^(2) + 6x + 5 = 0 has real and distinct roots is

Show that there is no real number p for which the equation x^2 -3x + p =0 has two distinct roots in [0,1]

Find the value of K for which the quadratic equation kx^(2)+2x+1=0, has real and distinct root.

The number of real roots of the quadratic equation 3x^(2) + 4 = 0 is

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then