Question

Given below are two statements :
Statement I: If the roots of the quadratic equation $x^2-4x-log_3a=0$ are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation $(5+ \sqrt2)x^2 - (4+\sqrt5)x + (8+2\sqrt5) = 0$ is 2.
In the light of the above statements, choose the correct answer from the options given below:

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but Statement II is false
• D. Statement I is false but Statement II is true

Answer 1

Answer: (C)

Statement I is true but Statement II is false

Answer 2

The correct answer is(C): Statement I is true but Statement II is false