MCQ
In a three dimensional space the equation $x^2- 5x + 6 = 0$ represents
  • A
    Points.
  • B
    Planes.
  • Curves.
  • D
    Pair of straight lines.

Answer

Correct option: C.
Curves.
Since, there is only one variable in the given equation.
Also, it is quadratic equation.
Hence, It represents curves in $yz$ plane.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Choose the correct answer.
A line cutting off intercept $-3$ from the $y-$axis and the tengent at angle to the xaxis is $\frac{3}{5}$, its equation is:
Let $\mathrm{C}$ be a circle with radius $\sqrt{10}$ units and centre at the origin. Let the line $x+y=2$ intersects the circle $\mathrm{C}$ at the points $\mathrm{P}$ and $\mathrm{Q}$. Let $\mathrm{MN}$ be a chord of $C$ of length $2$ unit and slope $-1$ . Then, a distance (in units) between the chord $PQ$ and the chord $MN$ is
Let $a_n$ denote the number of all n-digit positive integers formed by the digits $0,1$ or both such that no consecutive digits in them are $0$ . Let $b_n=$ the number of such $n$-digit integers ending with digit $1$ and $c_n=$ the number of such $n$-digit integers ending with digit $0$ .

$1.$ Which of the following is correct?

$(A)$ $a_{17}=a_{16}+a_{15}$ $(B)$ $c_{17} \neq c_{16}+c_{15}$

$(C)$ $b_{17} \neq b_{16}+c_{16}$ $(D)$ $a_{17}=c_{17}+b_{16}$

$2.$ The value of $b_6$ is

$(A)$ $7$ $(B)$ $8$ $(C)$ $9$ $(D)$ $11$

Give the answer question $1$ and $2.$

A helicopter is flying along the curve given by $y - x^{3/2} = 7, (x  \geq  0)$. A solider positioned at the point $\left( {\frac{1}{2},7} \right)$ wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is
The difference of the focal distance of any point on the hyperbola $9{x^2} - 16{y^2} = 144$, is
Aman is his $12^{th}$ innings makes a score of $63$ runs and increases his average score to $2$. What is his average after the $12^{th}$ innings ?
In a party, $70$ guests were to be served tea or coffee after dinner. There were $52$ guests who preferred tea while $37$ preferred coffee. Each of the guests liked one or the other beverage. How many guests liked both tea and coffee?
Let $A B C$ be a triangle with $\angle C=90^{\circ}$. Draw $C D$ perpendicular to $A B$. Choose points $M$ and $N$ on sides $A C$ and $B C$ respectively such that $D M$ is parallel to $B C$ and $D N$ is parallel to $A C$. If $D M=5, D N=4$, then $A C$ and $B C$ are respectively equal to
The smallest positive integer $n$ for which $n! <\Big(\frac{\text{n+1}}{2}\Big)^\text{n}$ holds, is:
If ${1 \over {x(x + 1)\,(x + 2)....(x + n)}} = {{{A_0}} \over x} + {{{A_1}} \over {x + 1}} + {{{A_2}} \over {x + 2}} + .... + {{{A_n}} \over {x + n}}$ then ${A_r} = $