Home
Class 12
MATHS
The minimum integral value of alpha for ...

The minimum integral value of `alpha` for which the quadratic equation `(cot^(-1)alpha)x^(2)-(tan^(-1)alpha)^(3//2)x+2(cot^(-1)alpha)^(2)=0` has both positive roots

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Similar Questions

Explore conceptually related problems

The values of alpha in R for which the quadratic equation 3x^(2)+2(alpha^(2)+1)x+(alpha^(2)-3 alpha+2)=0 possesses real roots of opposite sign are

The set of values of alpha for which the quadratic equation (alpha + 2) x^(2) - 2 alpha x - alpha = 0 has two roots on the number line symmetrically placed about the point 1 is

Given sin alpha=p, the quadratic equation whose roots are tan((alpha)/(2)) and cot((alpha)/(2)) is

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

If alpha and beta are the roots of the quadratic equation x^(2)-3x-2=0, then (alpha)/(beta)+(beta)/(alpha)=

(1)/((1+cot^(2)alpha)^(2))+(tan^(2)alpha)/((1+tan^(2)alpha)^(2))+(1)/(1+tan^(2)alpha)=

If both roots of quadratic equation (alpha+1)x^(2)-21-(1+3 alpha)x+1+8 alpha=0 are real and distinct then alpha be

If alpha is a real root of the equation x^(2)+3x-tan2=0 then cot^(-1)alpha+"cot"^(-1)1/(alpha)-(pi)/2 can be equal to