Which of the following pieces of data does NOT uniquely determine an acute-angled triangle `A B C(R` being the radius of the circumcircle)? (a) `a ,sinA ,sinB` (b) `a , b , c (c) `a ,sinB ,R` (d) `a ,sinA ,R`

Which of the following pieces of data does NOT uniquely determine an acute-angled triangle A B C(R being the radius of the circumcircle)? a ,sinA ,sinB (b) a , b , c , a ,sinB ,R (d) a ,sinA ,R

For any acute angled triangleABC,(sinA)/(A)+(sinB)/(B)+(sinC)/(C ) can

Radius of circumcircle of /_\DEF is (A) R (B) R/2 (C) R/4 (D) none of these

If A ,Ba n dC are the vetices of a triangle A B C , then prove sine rule a/(sinA)=b/(sinB)=c/(sinC)dot

If A ,Ba n dC are the vetices of a triangle A B C , then prove sine rule a/(sinA)=b/(sinB)=c/(sinC)dot

If the lengths of the sides of a right- angled triangle ABC, right angled at C, are in arithmetic progression, then the value of 5(sinA+sinB) is

In triangle A B C ,/_A=60^0,/_B=40^0,a n d/_C=80^0dot If P is the center of the circumcircle of triangle A B C with radius unity, then the radius of the circumcircle of triangle B P C is (a) 1 (b) sqrt(3) (c) 2 (d) sqrt(3) 2

In a triangle ABC, which of the following quantities denote the area of the triangles (a^2-b^2)/2(sinA sinB)/(sin(A-B))

In triangle A B C , let /_c=pi/2dot If r is the inradius and R is circumradius of the triangle, then 2(r+R) is equal to a+b (b) b+c c+a (d) a+b+c

In an acute angled triangle A B C ,r+r_1=r_2+r_3a n d/_B >pi/3, then (a) b+2c<2a<2b+2c (b) b+4c<4a<2b+4c (c) b+4c<4a<4b+4c (d) b+3c<3a<3b+3c