Let `P Q R` be a triangle of area with a=2,b=7/2,and c=5/2, where a, b and c are the lengths of the sides of the triangle opposite to the angles at P , Q and R respectively. Then (2sinP-sin2P)/(2sinP+sin2P) equals

Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ea , b ,a n dc are the lengths of the sides of the triangle opposite to the angles at P ,Q ,a n dR respectively. Then (2sinP-sin2P)/(2sinP+sin2P)e q u a l s 3/(4) (b) (45)/(4) (c) (3/(4))^2 (d) ((45)/(4))^2

Let PQR be a triangle of area Delta with a = 2, b = 7//2 , and c = 5//2 , where a, b and c are the lengths of the sides of the triangle opposite to the angles at P, Q and R, respectively. Then (2 sin P - sin 2P)/(2 sin P + sin 2P) equals

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

If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q=0 where a, b, c are lengths of sides of a triangle, then the triangle is

A triangle ABC is such that sin(2A+B) =1/2 and If A, B and C are in A.P., then find the value of A and C

Let ABC is be a fixed triangle and P be veriable point in the plane of triangle ABC. Suppose a,b,c are lengths of sides BC,CA,AB opposite to angles A,B,C, respectively. If a(PA)^(2) +b(PB)^(2)+c(PC)^(2) is minimum, then point P with respect to DeltaABC is

If sin^2(A/2), sin^2(B/2), and sin^2(C/2) are in H.P. , then prove that the sides of triangle are in H.P.

Let P be an interior point of a triangle ABC , Let Q and R be the reflections of P in AB and AC , respectively if Q .A , R are collinear then angle A equals -

Let O be the origin, and O X , O Y , O Z be three unit vectors in the direction of the sides Q R , R P , P Q , respectively of a triangle PQR. | O X xx O Y |= (a)sin(P+R) (b) sin2R (c)sin(Q+R) (d) sin(P+Q)dot

In two similar triangles A B C and P Q R , if their corresponding altitudes A D and P S are in the ratio 4:9, find the ratio of the areas of triangle A B C and triangle P Q R .