Statement - I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct.. Because : Statement - II : Circumradius `geq2` (inradius) A (b) B (c) C (d) D

Statement - I : If two sides of a triangle are 4 and 5, then its area lies in (0, 10] Because : Statement - II : Area of a triangle =1/2a b\ s in C\ a n d\ s in C\ in (0,\ 1] A (b) B (c) C (d) D

Statement - I : In any triangle A B C , the minimum values of (r_1+r_2+r_3)/r is 9 Because : Statement - II : For any three number A MgeqG M A (b) B (c) C (d) D

If circumradius of triangle is 2, then the maximum value of (abc)/(a+b+c) is

In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circumradius and inradius is (a) (16)/7 (b) (16)/9 (c) 7/(16) (d) (11)/7

Statement - I : Area of triangle having sides greater than 9 can be smaller than area of triangle having sides less than 3. Because : Statement - II : Sine of a angle of triangle can take any value in (0, 1] A (b) B (c) C (d) D

Consider a D E F , the pedal triangle of the A B C such that A-F-B\ a n d\ \ B-D-C are collinear. If H is the incentre of D E F and R_1,\ R_2,\ R_3 are the circumradii of the quadarilaterals A F H E ; B D H F\ a n d\ C E H D respectively, then prove that sumR_1=R+r where R is the circumradius and r is the inradius of A B Cdot

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

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If s intheta+cos e ctheta=2,\ t h e nsin^ntheta=cos e c^ntheta=2^n because Statement II: If \ a+b=2,\ a b=1, then a=b=1\ a. A b. \ B c. \ C d. D

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. If (bx)/(c) +(cy)/(a)+(az)/(b) =(a^(2) +b^(2)+c ^(2))/(k), then the value of k is

For the reaction , A + 2B ___ C + 2D The correct statement is