Plus 2 - Mathematics Important Questions

Questions 13-19 are provided in this post for practice. If you want more +2 sample one mark questions, refer to the 'Related Post' section below.

13) If $ -i + 2 $ is one root of the equation $ ax^{2}-bx+c=0 $, then the other root is

a) $ –i - 2 $

b) $ i - 2 $

c) $ 2 + i $

d) $ 2i + i $



14) Polynomial equation P(x) = 0 admits conjugate pairs of imaginary roots only if the coefficients are

a) imaginary

b) complex

c) real

d) either real or complex



15) The line $ 4x+2y=c $ is a tangent to the parabola $ y^{2} = 16x $ then c is:

a) -1

b) –2

c) 4

d) -4.



16) The rank of the diagonal matrix

$ \begin{bmatrix} -1 & & & & \\ & 2 & & & \\ & & 0 & & \\ & & & -4 & \\ & & & & 0 \\ \end{bmatrix} $ is:

a) 0

b) 2

c) 3

d) 5



17) If A is scalar matrix with scalar k $ \neq $, of order 3, then $ A^{-1} $is:

a) $ \frac{1}{k^2}I $

b) $ \frac{1}{k^3}I $

c) $ \frac{1}{k}I $

d) $ KI $



18) In a system of three linear non-homogenous equations with three unknowns, if $ \Delta \; = \; 0 $ and $ \Delta_{x} \; = \; 0 $, $ \Delta_{y} \; \neq \; 0 $ and $ \Delta_{z} \; = \; 0 $ then the system has:

a) unique solution

b) two solutions

c) infinitely many solutions

d) no solution.



19) In the system of three linear equations with three unknowns, in the non-homogenous system, $ \rho (A) \; = \; \rho (A,B) \;= \; 2$ ; then the system

a) has unique solution

b) reduces to two equations and has infinitely many solutions

c) reduces to a single equation and has infinitely many solutions

d) is inconsistent.

Check here for questions 1-6 and 7-12 .