MCQs Mathematics covers the topic of the Number system for the preparation of Intermediate mathematics. 1. The correct statement of De Mover’s Theorem is $(cos \theta + i\, sin\, \theta)^n$ is equal to $(n\, cos\, \theta + i\, n \,sin\, \theta)$ $cos\, n\, \theta + i\, sin\, n \,\theta)$ $(cos\, \theta + i\, sin\, \theta)^{n+1}$ $(cos\, n\, \theta – i\, sin\, n\, \theta)$ 2. Golden rule of fraction is that for $k\ne 0 $, $\frac{a}{b} =$ $\frac{ab}{k}$ $\frac{kb}{b}$ $\frac{kb}{ka}$ $\frac{ka}{kb}$ 3. If $z_1=2+3i$, $z_2=1-i$ then $|z_1z_2|=$ $\sqrt{15}$ $\sqrt{13}$ $26$ $\sqrt{26}$ 4. If $|x+5i|=3$ then $x$ is equal to None of the option given $\pm 4i$ $\pm 4$ $\pm22i$ 5. If $z=a+ib$ then $(z^2+\overline{z}^2)$ is equal to $(a^2+b^2)^2$ $2(a^2-b^2)$ $2(a^2+b^2)$ $4iab$ 6. The modulus value of a complex number $z=x+iy$ is the distance from X-axis Y-axis $(x, y)$ Origin 7. Imaginary part of $(-2+3i)^2$ is equal to $9$ $26$ $-8$ $-2$ 8. If a point $A$ of a coordinate plane corresponds to the ordered pair $(a, b)$, then $a$ and $b$ are called Ordinates of point $A$ Coordinates of point $A$ Value of point $A$ Abscissa of point $A$ 9. If $z$ is a real number then $\overline{z} = |z|$ $\overline{z}=-z$ $z\overline{z}=|z|$ $\overline{z} = z$ 10. The modulus of $z$ is $a^2+b^2$ $\sqrt{a^2-b^2}$ $\sqrt{a^2+b^2}$ $\sqrt{a^2 -(ib)^2}$ 11. The set $\{1, -1\}$ possesses closure property w.r.t. Subtraction Multiplication Addition Division 12. Polar form of $(\sqrt{3} + i)$ is $2 \left(cos\, \frac{\pi}{6} + i\, sin\, \frac{\pi}{6} \right)$ $2 \left(cos\, \frac{\pi}{6} – i\, sin\, \frac{\pi}{6} \right)$ $2 \left(cos\, \frac{\pi}{3} + i\, sin\, \frac{\pi}{3} \right)$ $2 \left( cos\, \frac{\pi}{3} – i\, sin\, \frac{\pi}{3} \right)$ 13. Real part of $(x+iy)^n$ is $sin\, n\, \theta$ $cos\, n\, \theta$ $r^n\, sin\, n\, \theta$ $r^n \,cos\, n \,\theta$ 14. The geometrical plane on which coordinate system has been specified is called Argand diagram Real line Coordinate plane or real plane Cartesian plane 15. If $z=3-5i$ then $|z|^2$ is equal to None of the option given $16$ $\sqrt{34}$ $34$ 16. If $z=x+iy$ then $|z|=? $\sqrt{x^2+y^2}$ $x-iy$ $\sqrt{x^2-y^2}$ $x^2+y^2$ 17. If $R$ is the set of real number, then product $R\times R$ is called Real line Cartesian plane Argand diagram Ordered pair 18. If point $A$ of the coordinate plane corresponds to the ordered pair $(a,b)$ then $a$ is abscissa of point $A$ $b$ is ordinate of point $A$ All of the given optoins $a$ and $b$ are coordinates of point $A$ 19. Polar form of $1+i\sqrt{3}$ is $2(cos\, 60^o + i\, sin\, 60^o)$ $2(cos\, 60^o – i\,sin\, 60^o)$ $2(cos\, 30^o + i\, sin\,30^o)$ $cos\, 60^o + i\, sin\, 60^o$ 20. 0.1428571428571…. is Natural number Irrational number Decimal number Rational number Loading … Leave a Reply Cancel replyYou must be logged in to post a comment. previousMCQs Economics – 3nextMCQs Economics – 4