Maths · Cartesian system of rectangular coordinates in a plane

is a parallelogram of area 162 sq.cm. is a point on such that Calculate the rati

\( A B C D \) is a parallelogram of area 162 sq.cm. \( P \) is a point on \( A B \) such that \( \boldsymbol{A P}: \boldsymbol{P B}=\mathbf{1}: \mathbf{2} \) Calculate the ratio \( \boldsymbol{P} \boldsymbol{A}: \boldsymbol{D} \boldsymbol{C} \)

  • A. 1: 3
  • B. 3: 1
  • C. 3: 2 \)
  • D. 2: 3

Step-by-step solution

In a parallelogram ABCD, opposite sides are equal, so DC = AB. P lies on AB such that AP:PB = 1:2, so AP:AB = 1:3. Hence, PA:DC = AP:AB = 1:3.
Practise more in this unitView MCQsSign up for full question bank