In Fig. 4.237, `L M=L N=46o` . Express `x` in terms of `a ,\ b` and `c` where `a ,\ b ,\ c` are lengths of `L M ,\ M N` and `N K` respectively. (FIGURE)

In the figure , l||m & l||n then x is -

In Fig. 10.60, P A and P B are tangents from an external point P to a circle with centre O . L N touches the circle at M . Prove that P L+L M=P N+M N . (FIGURE)

In Fig. 60, A B\ a n d\ C D are parallel lines intersected by a transversal P Q at L and M respectively. If /_L M D=35^0 find /_P L Adot

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)

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 C M)=a r\ ( L B M)

Area of a rectangle = L xx B Perimeter of a rectangle = 2(L + B) where L and B are the length and breadth of the rectangle respectively. The breadth of a rectangle of length 4 m and area 8.4 m^(2) is

A B C D is a parallelogram. L\ a n d\ M are points on A B\ a n d\ D C respectively and A L=C M . Prove that L M\ a n d\ B D bisect each other.

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 B C)=\ a r\ (\ M B C)

A B C is a right-angled triangle in which /_B=90^0 and B C=adot If n points L_1, L_2, ,L_nonA B is divided in n+1 equal parts and L_1M_1, L_2M_2, ,L_n M_n are line segments parallel to B Ca n dM_1, M_2, ,M_n are on A C , then the sum of the lengths of L_1M_1, L_2M_2, ,L_n M_n is (a(n+1))/2 b. (a(n-1))/2 c. (a n)/2 d. none of these

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 ( A B M)=a r ( A C L)