Chapter: Algebra
If the roots of the equation 14x² − (5k + 1)x + 5k = 0 differ by unity, then which one of the following is a possible value of k?
For the following two (02) items:
Consider the equation abx2 + bcx + ca = cax2 + abx + bc
If the roots of the equation are equal, then a, b, c are in
From the result 1/a + 1/c = 2/b, the reciprocals 1/a, 1/b and 1/c are in AP. Therefore a, b and c are in HP. Hence option (c) is correct.
For the following two (02) items:
Consider the equation abx2 + bcx + ca = cax2 + abx + bc
If the roots of the equation are equal, then which one of the following is correct?
For the following two (02) items:
Let a and b be the roots of the quadratic equation
x² + (log₀.₅(a²))x + (log₀.₅(a²))⁴ = 0,
where a² ≠ 1 and log₀.₅(a²) > 0.
Further,
β² = α(logₐ²(0.5)).
What is the relation between α and β?
For the following two (02) items:
Let a and b be the roots of the quadratic equation
x² + (log₀.₅(a²))x + (log₀.₅(a²))⁴ = 0,
where a² ≠ 1 and log₀.₅(a²) > 0.
Further,
β² = α(logₐ²(0.5)).
What is β equal to?
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