3. ABCD is a parallelogram and APQ is a straight line meeting BC at P and DC produced at Q. Prove that Bp×DQ=AB×BC.

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ABCD is a parallelogram and APQ is a straight line meeting BC at Pend DC produced at Q. prove that the rectangle obtained by BP and DQ is equal to the rectangle contained by AB and BC.

Q. ABCD is a parallelogram and L is a point on DB. The produced line AL meets BC at M and DC produced at N. Given that DL

= 3

LB, find

\frac{A B}{C N}

A

point

E

is taken on the side

B C

of a parallelogram

A B C D, A E

and

D C

produced to meet at

F

. Prove that area

(Δ A D F) =

Area

(l l^{m} A B F C)

Q. In the adjoining figure

, A B C D

is a parallelogram. Any line through A cuts

D C

at a point

P

and

B C

produced at

Q .

Prove that :

a r (Δ B P C) = a r (Δ D P Q) .

1293878_f8df6de59fdb466294cd8e3124285b76.1293878-Q

In the adjoining figure ABCD is a parallelogram. ‘P’ is a point on BC, DP and AB are produced meet at L. Prove that DP : PL = DC : BL.

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