MCQ
If a pair of linear equation is consistent, then the lines will be :
- AAlways intersecting
- ✓Intersecting or coincident
- CAlways coincident
- DParallel
✓
Answer
Correct option: B.
Intersecting or coincident
If a consistent system has an infinite number of solutions, it is dependent.
When you graph the equations, both equations represent the same line.
So for consistent line it has to be parallel or even they intersect at one point. If a system has no solution, it is said to be inconsistent.
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
When you graph the equations, both equations represent the same line.
So for consistent line it has to be parallel or even they intersect at one point. If a system has no solution, it is said to be inconsistent.
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
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
Choose the correct answer from the given four options in the following questions : If two positive integers $a$ and $b$ are written as $a = x^3 y^2$ and $b=x y^3 ; x, y$ are prime numbers, then $\text{HCF}\ (a, b)$ is :
→The circular ends of a bucket are of radii $35\ cm$ and $14\ cm$ and the height of the bucket is $40\ cm$. Its volume is:
→In the given figure, if $\angle\text{AOD}=135^\circ$ then $\angle\text{BOC}$ is equal to:
→Sides $A B$ and $B E$ of a right triangle, right angled at $B$ are of lengths 16 cm and 8 cm respectively. The length of the side of largest square FDGB that can be inscribed in the triangle $A B E$ is
→$3x^2+ 4x + 5 = 0$ have :
→The next $\left(4^{\text {th }}\right)$ term of the A.P. $\sqrt{18}, \sqrt{50}, \sqrt{98}, \ldots$ is :
→Mark the correct alternative in the following : The first and last terms of an $A.P$. are $1$ and $11$. If the sum of its terms is $36,$ then the number of terms will be :
→Choose the correct answer from the given four options : If two solid hemispheres of same base radius $r$ are joined together along their bases, then curved surface area of this new solid is :
→If $\triangle PQR \sim \triangle ABC ; PQ =6 \ cm, AB =8 \ cm$ and the perimeter of $\triangle A B C$ is $36 \ cm ,$ then the perimeter of $\triangle PQR$ is
→All non $-$ terminating and non $-$ recurring decimal numbers are
→