If P,Q and R are the angles of a triangle the value of `|{:(tanP,1,1),(1,tanQ,1),(1,1,tanR):}|` is

If A, B and C are the angles of a triangle and |(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^2A,sinB+sin^2B,sinC+sin^2C)|=0 , then the triangle must be :

If A,B and C are angles of a triangle, then the determinant : |(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)| is equal to :

Evaluate Delta = {:|(1,a,bc),( 1,b,ca),(1,c,ab)|:}

Evaluate Delta -|(1,a,bc),(1,b,ca),(1,c,ab)|

If p and q are the roots of the equation x^(2)-3x+2=0 , find the value of (1)/(q)-(1)/(q) .

If two angles of a triangle are tan^(-1)(2) and tan^(-1)(3), then find the third angle.

The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) and C = (3,-1,2) is

. If P Q and P R are the tangents from P to the ellipse (x^(2))/(2)+y^(2)=1 , and the equation of Q R is x+3 y=1 , then P =