Mathematics NEB 2080 question paper

Group A

Very short answer questions(11 × 1 = 11)

1. 1.

   Consider '*' is binary operation on set A. Which one of the following is associative law ? $a,b,c,e$ and $a^{-1}$ are elements of $A$. A) $a\ast b=b\ast a$ B) $e\ast a=a\ast e=a$ C) $a\ast a^{-1}=a^{-1}\ast a=e$ D) $a\ast (b\ast c)=(a\ast b)\ast c$.

   Answer coming

   1
2. 2.

   One of the root of a quadratic equation is $3+2\sqrt{5}$ . What is the sum of roots of the quadratic equation ? A) -11 B) $3-2\sqrt{5}$ C) 6 D) $4\sqrt{5}$

   Answer coming

   1
3. 3.

   What is the domain of $y={\sin }^{-1}x$ ? a) $(-1,1)$ b) $(-\infty ,\infty )$ c) $[0-1]$ d) $[-1,1]$

   Answer coming

   1
4. 4.

   Which one of the following is general solution for $2\cos \theta -1=0$? A) $n\pi +(-1{)}^n\frac{\pi }{3};n\in I$ B) $n\pi \pm \frac{\pi }{3};n\in I$ C) $n\pi +\frac{\pi }{3};n\in I$ D) $2n\pi \pm \frac{\pi }{3};n\in I$

   Answer coming

   1
5. 5.

   Which one of the following conics is represented by the equation $4x^2-16x+y^2=48$ ? a) Hyperbola b) Ellipse c) Parabola d) Circle

   Answer coming

   1
6. 6.

   Consider $\vec{a}\times \vec{b}=\vec{c}\times \vec{d}$ and $\vec{a}\times \vec{c}=\vec{b}\times \vec{d}$ . Which one of the following is parallel to $(\vec{b}-\vec{c})$ ? a) $\vec{a}-\vec{b}$ b) $\vec{a}-\vec{c}$ c) $\vec{a}-\vec{d}$ d) $\vec{c}-\vec{d}$

   Answer coming

   1