Step 1: Definition of sympatric speciation Sympatric speciation refers to the process by which new species evolve from a single ancestral species while inhabiting the same geographic region. Unlike allopatric speciation, there is no physical separation between populations.
Step 2: Mechanism of sympatric speciation Sympatric speciation often occurs due to factors such as: Behavioral isolation Ecological isolation (e.g., habitat preferences within the same region) Polyploidy in plants Genetic divergence without physical barriers
Step 3: Elimination of incorrect options (A) Incorrect: Geographic isolation is a characteristic of allopatric speciation. (C) Incorrect: Migration to a new habitat implies geographic separation, which is not sympatric. (D) Incorrect: Gradual accumulation of changes is part of the speciation process but does not define sympatric speciation specifically.
How many of the following genotypes possibly represent normal wings in Drosophila?
(i) \( Vg^+Vg^+ \)
(ii) \( Vg^+Vg^{ni} \)
(iii) \( Vg^+Vg^{no} \)
(iv) \( Vg^+Vg^{st} \)
(v) \( Vg^+Vg \)
Given, the function \( f(x) = \frac{a^x + a^{-x}}{2} \) (\( a > 2 \)), then \( f(x+y) + f(x-y) \) is equal to