"`O` એ `AB Cdot` ના આંતરિક ભાગમાં કોઈપણ બિંદુ છે તે સાબિત કરો કે `A B+AC mt O B+OC` `A B+B C+C

The blood groups of 25 students are recorded as under: A, B, O, A, AB, O, A, O, B, A, O, B, A, AB, AB, A, A, B, B, O, B, AB, O, A, B. Arrange the information in a table using tally marks.

If A:B=4:9 and A:C=2:3 , find B:C and A:B:C

In fig., O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that:- O A^ 2 + O B^ 2 + O C^ 2 − O D^ 2 − O E^ 2 − O F^ 2 = A F^ 2 + B D^ 2 + C E^ 2

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L O B)=a r\ (\ M O C)

A quadrilateral A B C D is such that diagonal B D divides its area in two equal parts. Prove that B D bisects A Cdot GIVEN : A quadrilateral A B C D in which diagonal B D bisects it. i.e. a r( A B D)=a r( B D C) CONSTRUCTION : Join A C Suppose A C and B D intersect at O . Draw A L_|_B D and C M B Ddot TO PROVE : A O=O Cdot

In Delta ABC a cdot sin(B - C) + b cdot sin (C - A) + c cdot sin (A - B) =

Sum of a – b + ab, b + c – bc and c – a – ac is

A B C D is a trapezium in which A B C D . The diagonals A C and B D intersect at O . Prove that (i) A O B C O D (ii) If O A=6c m , O C=8c m , Find: (A r e a ( A O B))/(A r e a ( C O D)) (b) (A r e a ( A O D))/(A r e a ( C O D))