12th Mathematics - One Mark Questions - Part two

This set contains questions 9-16 provided to help students to practice them as a sample. After you have prepared well for your examinations, give these a questions a go to see how well you have prepared. Post your answers to this questions in the comments section..Refer here for questions 1-8.

9) The centre and radius of the sphere given by $ 2x^2+2y^2+2z^2-12x+16y-20z+2=0 $ is :

a) (-3, 4, –5) : 49

b) (-6, 8, –10) : 7

c) (6, –8, 10) : 7

d) (3, –4, 5) : 7



10) The shortest distance of the point (2, 10, 1) from the plane $ \overrightarrow{r}.(3\overrightarrow{i}-\overrightarrow{j}+4\overrightarrow{k})=2\sqrt{26} $ is:

a) $ \sqrt{26} $

b) $ 2\sqrt{26} $

c) $ 2 $

d) $ \frac{1}{\sqrt26} $



11) The complex number 0, $ 0, z, z+\overrightarrow{z}, \overrightarrow{z} $ are the vertices of a :

a) square

b) parallelogram

c) rectangle

d) rhombus



12) if $ \omega $ is a cube root of unit, then the value of $ \frac{a+b\omega+c\omega^2}{a\omega+b\omega^2+c}+\frac{a\omega^2+b\omega+c}{a+b\omega^2+c\omega} $ is:

a) $ 2\omega $

b) $ -2\omega^2 $

c) $ 2\omega^2 $

d) $ -2\omega $



13) If z represents a complex number then $ arg\; Z+arg \; \overrightarrow{Z} $ is:

a) $ \frac{\pi}{4} $

b) $ \frac{\pi}{3} $

c) $ \frac{\pi}{2} $

d) 0



14) The polar form of the complex number $ (i^{25})^3 $ is:

a) $ cos\pi-isin\pi $

b) $ cos\frac{\pi}{2}-isin\frac{\pi}{2} $

c) $ cos\pi+isin\pi $

d) $ cos\frac{\pi}{2}+isin\frac{\pi}{2} $



15) The locus of the foot of the perpendicular from the focus on a tangent to the curve $ 16x^2+25y^2=400 $ is:

a) $ x^2+y^2=25 $

b) $ x^2+y^2=4 $

c) $ x^2+y^2=16 $

d) $ x^2+y^2=9 $



16) One of the foci of the rectangular hyperbola xy = 18 is:

a) (6, 6)

b) (3, 3)

c) (4, 4)

d) (5, 5)