The developmental goals of a prosperous farmer include:
1. Higher support prices for crops (II): Ensures better income for farmers by guaranteeing minimum prices for their produce.
2. Assured high family income (III): Reflects the desire for economic stability and security.
But better wages (I) and more days for work (IV) are typically goals associated with laborers or marginal farmers, not prosperous farmers.
In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.