Algebra MCQ & Answers [PDF Download]

Find the value of x if 2^x+1 + 2^x-1 = 20

If the roots of the equation x² + px + q = 0 are α and β, then the equation whose roots are α² and β² is:

The number of solutions of the equation |x - 1| + |x - 2| = 3 is:

If log_ax + log_ay = 3 and log_ax - log_ay = 1, then xy equals:

The coefficient of x⁵ in the expansion of (1 + x)⁸(1 - x)⁶ is:

If the system of equations
ax + by + cz = 0
bx + cy + az = 0
cx + ay + bz = 0
has a non-trivial solution, then a + b + c equals:

The sum of the infinite geometric series 1 + (1/3) + (1/9) + (1/27) + ... is:

If f(x) = x³ - 6x² + 11x - 6, then the number of real roots of f(x) = 0 is:

The number of terms in the arithmetic progression 7, 10, 13, ..., 184 is:

The range of the function f(x) = (x² + 4x + 5)/(x² + 4x + 6) is:

If α, β are the roots of x² - 3x + 1 = 0, then α⁴ + β⁴ equals:

The number of integral solutions of |x - 2| + |x - 4| ≤ 3 is:

If the matrix

The value of ⁿC₀ + ⁿC₂ + ⁿC₄ + ... (sum of binomial coefficients with even indices) is:

If z = x + iy and |z - 2| = |z + 2|, then the locus of z is:

If 3^x = 5^y = 15^z, then which relation is correct?

The sum of first n terms of the series 1×2 + 2×3 + 3×4 + ... is:

If the polynomial f(x) = x⁴ + ax³ + bx² + cx + d is divisible by (x-1)², then a + b equals:

The value of sin^-1(3/5) + cos^-1(4/5) is:

If the lines 2x + 3y - 6 = 0 and 4x + ky - 12 = 0 are identical, then k equals:

The equation |x|² - 3|x| + 2 = 0 has how many real solutions?

If A =

The sum to infinity of the series 1 - 1/3 + 1/9 - 1/27 + ... is:

If f(x) = √(x² - 9), then the domain of f(x) is:

The coefficient of x⁶ in the expansion of (1 + x + x²)⁴ is:

If log₂(x - 1) + log₂(x + 1) = 3, then x equals:

The value of the determinant

If the function f(x) = (ax + b)/(cx + d) is such that f(f(x)) = x for all x in its domain, then:

The number of ways to arrange the letters of the word 'MATHEMATICS' is:

If x + 1/x = 3, then x⁴ + 1/x⁴ equals: