If the component lines whose combined equation is `px^(2)-qxy-y^(2)=0` make the angles `alphaand beta ` with x-axis , then find the value of tan `(alpha+beta)`.

If the lines represented by the equation 6x^(2)+41xy-7y^(2)=0 make angle alpha " and " beta with x-axis, then tanalpha tanbeta=

If alpha and beta are the roots of x^(2)+6x-4=0 , find the values of (alpha-beta)^(2) .

If alpha and beta are the roots of x^(2)+6x-4=0 , find the value of (alpha-beta)^(2) .

If x^(2)+px+q=0 has the roots alpha" and "beta , then the value of (alpha-beta)^(2) is equal to

If alpha and beta are the roots of 2x^(2) – 3x -4 = 0 find the value of 2 alpha^(2)+ beta^(2)

If 2 sin 2alpha=tan beta,alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the x-axis. If tan alpha tan beta=1 , then find the value of c^(2)-d^(2) .

If alpha and beta (alpha gt beta) are the roots of x^(2) + kx - 1 =0 , then find the value of tan^(-1) alpha - tan^(-1) beta

The roots of the equation 2x^(2)-7x+5=0 are alpha and beta . Without solving the root find (alpha)/(beta)+(beta)/(alpha)