Tangents are drawn from the point `(alpha, 2)` to the hyperbola `3x^2 - 2y^2 = 6` and are inclined at angles `theta and phi` to the x-axis . If `tan theta, tan phi = 2,` then the value of `2alpha^2 - 7` is

Tangents are drawn from the point (alpha,2) to the hyperbola 3x^(2)-2y^(2)=6 and are inclined at angles theta and phi to the x-axis.If tan theta,tan phi=2, then the value of 2 alpha^(2)-7 is

Tangents are drawn from the point ((alpha,beta)) to the hyperbola 3x^(2)-2y^(2)=6 and are inclined at angle theta and phi to the X - axis.If tan theta*tan phi=2 ,then the value of 2 alpha^(2)-beta^(2) is

nd are inclined at avgics Tangents are drawn from the point (alpha,beta) to the hyperbola 3x^(2)-2y^(2)=6 and are inclined atv angle theta and phi to the x-axis.If tan theta.tan phi=2 , prove that beta^(2)=2 alpha^(2)-7

If (1+tan theta)(1+tan phi)=2 then theta+phi=

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 tan theta=(1)/(2) and tan phi=(1)/(3), then the value of theta+phi is

If tan theta=3tan phi, then the maximum value of tan^(2)(theta-phi) is