What is the cross between the progeny of $F_1$ and the homozygous recessive parent called? How is it useful?

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(N/A) The cross between the progeny of $F_1$ and the homozygous recessive parent is called a test cross.
It is useful for determining the genotype of an organism showing a dominant phenotype. By crossing an individual with an unknown genotype (showing a dominant trait) with a homozygous recessive individual,we can observe the phenotypic ratio of the offspring.
If all offspring show the dominant trait,the unknown parent is homozygous dominant. If the offspring show a $1:1$ ratio of dominant and recessive traits,the unknown parent is heterozygous.

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Which of the following statements is correct?

The leaf colour of certain plants is controlled by one gene. For that gene,the allele $G =$ orange and $g =$ green. You have a plant with orange leaves,but do not know whether that plant's genotype is $GG$ or $Gg$. If you cross your unknown plant with one of the plants whose genotype is listed below,you will be able to determine your unknown's genotype. With which plant would you cross it?

According to Mendel's Law of Segregation,the phenotypic ratio of the $F_2$ generation will be.................

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