List of practice Questions

If ax + b = 0, then x =
The equation x - 4y = 5 has
The quadratic polynomial whose zeroes are α, β is
The zeroes of the polynomial \(x^3 – x^2\) are
The product of the zeroes of x + 2 x 2 + 1 is
The number of zeroes, a biquadratic polynomial can have at most is
Which of the following sets are finite?
If \(A∩B = B\), then the correct statement is
Set of even prime numbers is
If \(\log_{3} x^2 = 2\), then x =
\(\sqrt{2}\text{ is}\)
The smallest odd composite number is
The product of two numbers is 30. If their HCF is 5, then LCM is
The solution set of the inequality 5(4x+6) <25x+10 is
If the inequality -13 ≤ x ≤ 5 is expressed in the form |x-a|≤b, then the values of a and b are respectively
Let \(\begin{vmatrix} x-1&2&1\\2&x-1&2\\1&x+2&x-1 \end{vmatrix}=ax^3+bx^2+cx+d\), where a,b,c and d are constants. Then the value of d is
The matrix \(\begin{bmatrix} -2&1&0\\3&4&1\\-4&\lambda&0 \end{bmatrix}\) is non-singular for \(\lambda\ne\)
If \(AB=\begin{bmatrix} 4&3\\5&4 \end{bmatrix}\) and \(A^{-1}=\begin{bmatrix} 3&-2\\-1&1 \end{bmatrix}\), then B=
If \(\begin{vmatrix} 1&2&1\\0&x&-3\\2&-1&x \end{vmatrix}=0\), then the value of x are
The value of the determinant \(\begin{vmatrix} 4&4^2&4^3\\3&3^2&3^3\\2&2^2&2^3 \end{vmatrix}\)is
Let \(A+B=\begin{bmatrix} 4&1&4\\1&4&4 \end{bmatrix}\)and \(B=\begin{bmatrix} 1&0&-2\\-1&3&0 \end{bmatrix}\), then A=
The term independent of x in the binomial expansion of \((x+\frac{2}{x^3})^{20}\) is
If x22 is in the (r+1)th term of the binomial expansion of (3x3-x2)9, then the value of r is equal to
The number of 3-digit numbers that can be formed from the digits 0, 2, 3, 5, 7 is (repetition is allowed)
A set contains 9 elements. Then the number of subsets of the set which contains at most 4 clements is