In a triangle `DeltaXYZ`, leta, bandc be the lengths of the sides opposite to the angles `X, Y and Z` respectively.lf `2 (a^2-b^2)=c^2 and lambda=sin (X-Y)/sin Z` then possible values of n for which `cos(n pi lambda)=0` is (are)

In a triangle /_\ XYZ, let a,b, c be the lengths o the sides opposite to the angle X,Y and Z respectively. If 1+cos2X-2cos2Y=2sinXsinY, then positive value (s) of a/b is (are

In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z, respectively, and 2s = x + y + z. If (s-x)/4=(s-y)/3=(s-z)/2 of incircle of the triangle XYZ is (8pi)/3

In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z, respectively, and 2s = x + y + z. If (s-x)/4=(s-y)/3=(s-z)/2 of incircle of the triangle XYZ is (8pi)/3

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is

In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin^(2) A//2 If a, b and c denote the lengths of the sides of the triangle opposite to the angles A,B and C respectively, then

Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2 hold simultaneously. the possible value of a is ___________

Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2 hold simultaneously. the possible value of a is ___________

lf sin(x-y)-cos(x + y) = 1/2 then the values of x & y lying between 0 and pi are given by

Consider a triangle ABC, where c,y,z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a,b, c respectively. Let the letters R,r S,Delta denote the circumradius, inradius semi-perimeter and area of the triangle respectively. The valur of (c sin B+b sin C)/(x)+ (a sin C +c sin A)/(y)+(b sin A+a sin B)/(z) is equal to

If the line 3x-4y-lambda=0 touches the circle x^2 + y^2-4x-8y- 5=0 at (a, b) then which of the following is not the possible value of lambda+a + b ?