Exemplar exercise problems I — task. Mathematics CBSE, Class 10.

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1. If in two triangles

$ABC$ and

$PQR$ ,

$\frac{AB}{QR} = \frac{BC}{PR} = \frac{CA}{PQ}$ , then

$\Delta PQR \sim \Delta CAB$
$\Delta BCA \sim \Delta PQR$
$\Delta PQR \sim \Delta ABC$
$\Delta CBA \sim \Delta PQR$

2. In given figure, two line segments

$AC$ and

$BD$ intersect each other at the point

$P$ such that

$PA = 6 \ cm$ ,

$PB = 3 \ cm$ ,

$PC = 2.5 \ cm$ ,

$PD = 5 \ cm$ ,

$\angle APB = 50^\circ$ and

$\angle CDP = 30^\circ$ . Then,

$\angle PBA$ is equal to

$30^\circ$
$100^\circ$
$60^\circ$
$50^\circ$

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