The radii `r_1, r_2,r_3` of the escribed circles of the triangle `A B C` are in H.P. If the area of the triangle is `24 c m^2a n d` its perimeter is 24cm, then the length of its largest side is 10 (b) 9 (c) 8 (d) none of these

The exradii r_1,r_2 and r_3 of /_\A B C are in H.P.show that its sides are in A.P .

In any triangle, the minimum value of r_1r_2r_3//r^3 is equal to 1 (b) 9 (c) 27 (d) none of these

If the sides of a triangle are in G.P., and its largest angle is twice the smallest, then the common ratio r satisfies the inequality 0

The exradii r_1,r_2 and r_3 of /_\A B C are in H.P. Show that its sides a , ba n dc are in AdotPdot

IF the lengths of the side of triangle are 3,5A N D7, then the largest angle of the triangle is pi/2 (b) (5pi)/6 (c) (2pi)/3 (d) (3pi)/4

In any triangle A B C ,(a^2+b^2+c^2)/(R^2) has the maximum value of (a) 3 (b) 6 (c) 9 (d) none of these

A triangle A B C with vertices A(-1,0),B(-2,3/4), and C(-3,-7/6) has its orthocentre at Hdot Then, the orthocentre of triangle B C H will be (-3,-2) (b) 1,3) (-1,2) (d) none of these

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a) geq12 (b) geq9 (c) lt=12 (d)none of these

If R_1 is the circumradius of the pedal triangle of a given triangle A B C ,a n dR_2 is the circumradius of the pedal triangle of the pedal triangle formed, and so on R_3,R_4 then the value of sum_(i=1)^ooR_i , where R (circumradius) of A B C is 5 is 8 (b) 10 (c) 12 (d) 15

The three sides of a trapezium are equal, each being 8cm. The area of the trapezium, where it is maximum, is (a) 24sqrt(3) c m^2 (b) 48sqrt(3)c m^2 (c)72 sqrt(3)c m^2 (d) none of these