Home
Class 12
MATHS
Assertion (A): For alphaltbeta equation ...

Assertion (A): For `alphaltbeta` equation `(x-cosalpha)(x-cosbeta)-2=0` has one root less than `cosbeta` and other greater than `cosalpha`., Reason (R): Quadratic expression`ax^2+bx+c` has sign opposite to that of a between the roots `alpha and beta` of equation `ax^2+bx+c=0` if `alphaltbeta` .

Promotional Banner

Similar Questions

Explore conceptually related problems

Assertion (A): Equation (x-a)(x-b)-2=0, altb has one root less than a and other root greater than b. , Reason (R): A polynomial equation f\'(x)=0 has even number of roots between a and b if f(a) and f(b) have opposite signs. .

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The quadratic equation whose roots are reciprocal of the roots of the equation ax^(2) + bx+c=0 is :

Let y=ax^(2)+bx+c be a quadratic expression have its vertex at (3-2) and value of c = 10, then One of the roots of the equation ax^(2)+bx+c=0 is

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

If sin alpha, cosalpha are the roots of the equation x^2 + bx + c = 0 (c != 0) , then

If 0ltalphalt pi/4 equation (x-sinalpha)(x-cosalpha)-2=0 has (A) both roots in (sinalpha, cosalpha) (B) both roots in (cosalpha, sinalpha) (C) one root in (-oo, cosalpha) and other in (sinalpha, oo) (D) one root in (-oo,sinalpha) and other in (cosalpha, oo)

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 then log(a-bx+cx^(2)) is equal to

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of 2alpha^(2)beta^(2) is

If alpha, beta are the roots of the equation ax^2 + bx +c=0 then the value of (1+alpha+alpha^2)(1+beta+beta^2) is