In Figure, `H E L P` is a parallelogram. If `O E=4c m\ a n d\ H L` is 5cm more then `P Edot` Find `O Hdot`

In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respectively, the angle bisectors of /_P\ a n d\ /_Q . Line L O M is drawn parallel to P Q . Prove that: P L=Q M (ii) L O=O M

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

In Figure A B C D\ a n d\ A E F D are two parallelograms. Prove that: P E=F Q

In Figure, A B C D is a rectangle in which diagonal A C is produced to Edot If /_E C D=146^0, find /_A O B

In Figure, A B C D\ a n d\ A E F D are two parallelograms? Prove that: a r\ (\ A P E):\ a r\ (\ P F A)=\ a r\ \ (Q F D)\ : a r\ (\ P F D)

In Figure, A B C D is a ^(gm)dot\ \ O is any point on A CdotP Q\ A B\ a n d\ L M A Ddot Prove that a r(^(gm)D L O P)=\ a r\ (^(gm)B M O Q)

In Fig.97, If A B is parallel to CD, then the value of /_B P E is (a) ( b ) (c) (d) (e) 106^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 76^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 74^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 84^(( q )0( r ))( s ) (t) (u)

L, M, N,O, P, Q, R and S are sitting around a circle facing the centre. N, who is third to the left of P, is not a neighbour of M. S is the neighbour of O and R and is third to the right of M. L is not the neighbour of O, who is second to the left of N. Which of the following has the second person sitting between the remaining two? 1) M, L, P 2) N, L, Q 3) P, S, R 4) Q,N, L 5) None of these

L, M, N,O, P, Q, R and S are sitting around a circle facing the centre. N, who is third to the left of P, is not a neighbour of M. S is the neighbour of O and R and is third to the right of M. L is not the neighbour of O, who is second to the left of N. Which of the following is TRUE? 1) M is on the immediate right of P. 2) N is on the immediate right of L. 3) O is third to the right of L. 4) L is second to the right of Q 5) None of these

L, M, N,O, P, Q, R and S are sitting around a circle facing the centre. N, who is third to the left of P, is not a neighbour of M. S is the neighbour of O and R and is third to the right of M. L is not the neighbour of O, who is second to the left of N. Which of the following is NOT TRUE? 1) O and Q are neighbours. 2) N,L and O are sitting adjacent to each other. 3) M, P and O, S are the pairs of adjacent persons. 4) L is on the immediate left of M. 5) None of these