If the parameter is eliminated from the equations x = t² + 1 and y = 2t, then the relation between x and y is:
(x + 2)³ − 3(x + 2)² + 3(x + 2) − 1 =
The product of cube roots of unity is
If x² = 5, then (x + 3)(x + 2) + (x + 1)(x − 6) =
The nature of the roots of the equation 2x² − 7x + 6 = 0 is:
x + 3y = 6 and 2x − y = 3, then x/y =
An expression of the form aₙxⁿ + aₙ₋₁xⁿ⁻¹ + … + a₁x + a₀ is called a degree n.
Highest power of a variable in a polynomial is called
If α and β are the roots of the equation x² − 4x + 2 = 0, find the equation whose roots are 2α and 2β.
If the roots of the equation x² − Px + 7 = 0 are denoted by α and β, and α² + β² = 22, find the possible value of P.
If α and β are the complex cube roots of unity, then α⁴ + β⁴ + 1/(αβ) =
√(x + 8) + √(x + 3) = √(12x + 13) is called:
x⁴ − 3x³ + 4x² − 3x + 1 = 0 is called:
The minimum positive integral value of K for which the equation 2x² + 6x + K = 0 has complex roots is:
If x -1 is a factor of x² + ax - 4 then it has the value?
for any integer k, w² = ___________ where n - 3k
The area of a square is 32 square inches. Find the length of a diag d the length of a diagonal
