Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
Choose an option to check your answer.
Square the coefficient and multiply the exponent by 2.
This gives 2²a⁶ = 4a⁶.
Choose an option to check your answer.
When dividing powers with the same base, subtract the exponents.
Thus, x⁷ ÷ x³ = x⁴.
Choose an option to check your answer.
When multiplying powers with the same base, add the exponents.
Thus, a³ × a⁵ = a⁸.
Choose an option to check your answer.
A zero discriminant makes the square-root term in the formula zero.
Both solutions therefore coincide.
Choose an option to check your answer.
The discriminant is b² - 4ac.
Here it is 4² - 4(1)(1) = 16 - 4 = 12.
Choose an option to check your answer.
The quadratic factors as (x - 2)(x - 3) = 0.
Therefore, x is 2 or 3.
Choose an option to check your answer.
The required numbers multiply to 6 and add to 5.
Those numbers are 2 and 3.
Choose an option to check your answer.
The expression is a difference of squares: x² - 3².
Thus, it factors as (x - 3)(x + 3).
Choose an option to check your answer.
Substitute x = 2 to obtain 4 + 3y = 13.
Then 3y = 9, so y = 3.
Choose an option to check your answer.
Adding the equations gives 2x = 14, so x = 7.
Substituting into x + y = 10 gives y = 3.
Choose an option to check your answer.
Multiply both sides by 4.
Thus, x = 7 × 4 = 28.
Choose an option to check your answer.
Move variable terms to one side and constants to the other.
Then 3x = 15, so x = 5.
