MCQ
If a pair linear equations is inconsistent then their graph lines will be:
- ✓Parallel.
- BAlways coincident.
- CAlways intersecting.
- DIntersecting or coincident.
✓
Answer
Correct option: A.
Parallel.
A system of equations $a_1x + b_1y + c_1 = 0, a_2x + b_2y + c_2 = 0$ is said to be inconsistent if it has no solution.
If a pair of linear equation are parallel,
It has no solutions.
If a pair of linear equation are coincident,
If has infinite number of solutions.
If a pair of linear equations are intersecting,
It has a unique solution.
So, the pair of linear will be parallel.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $2$ is a root of the equation $x^2+ bx + 12 = 0$ and the equation $x^2+ bx + q = 0$ has equal roots, then $q =$
→Quadrilateral $\text{ABCD}$ is circumscribed to a circle. If $AB = 6\ cm, BC = 7\ cm$ and $CD = 4\ cm,$ then the length of $AD$ is :
→The pair of equations $x=2 a$ and $y=3 b(a, b \neq 0)$ graphically represents straight lines which are :
→The common difference of the AP $\frac{1}{\text{p}},\frac{1-\text{p}}{\text{p}},\frac{1-2\text{p}}{\text{p}},....$ is:
→If the system of equations has infinitely many solutions, then:
2x + 3y = 7
2ax + (a + b)y = 28
In the given figure, AT is tangent to a circle centred at O . If $\angle CAT =40^{\circ}$, then $\angle CBA$ is equal to
→A quadratic equation whose one root is 3 is
The modal value is the value of the variate which divides the total frequency into two equal parts :
Two dice are thrown together. The probabililty of getting the same number on both dice is :
In Figure, $\triangle\text{ABC}$ is an isosceles triangle, right-angled at $C$. Therefore.
→