Question

In the given figure, RS || DB || PQ. If CP = PD = 11 cm and DR = RA = 3 cm. Then the values of x and y are respectively.

विकल्प

• 12, 10

• 14, 6

•  10, 7

• 16, 8

Answer 1

Given: RS || DB || PQ. CP = PD = 11cm and DR = RA = 3cm

To find: the value of x and y respectively.

\[In ∆ ASR and ∆ ABD, \]
\[\angle ASR = \angle ABQ \left( \text{Corresponding angles} \right)\]
\[\angle A = \angle A \left( \text{Common} \right)\]
\[ \therefore ∆ ASR ~ ∆ ABD \left( AA \hspace{0.167em} \text{Similarity} \right)\]
`(AR)/(AD)=(AS)/(AB)=(RS)/(DB)`

`3/6=(RS)/(DB)`

`1/2=x/y`

`x=2y`

This relation is satisfied by option (d).

Hence, x = 16 cm and y = 8cm

Hence the result is `d`