Download App

Pair of Linear Equations in Two variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPair of Linear Equations in Two variables1 Mark
MCQ
The system $x - 2y = 3 $ and $3x + ky = 1$ has a unique solution only when :
  • A
    $\text{k}=-6,$
  • ✓
    $\text{k}\neq-6$
  • C
    $\text{k}=0$
  • D
    $\text{k}\neq0$
✓

Answer

Correct option: B.
$\text{k}\neq-6$
$x - 2y = 3$ and $3x + ky = 1$
We know that, the system of linear equations $a_1 x+b_1 x+c_1=0, $
$a_2 x+b_2 y+c_2=0$ has a unique solution if $\frac{\text{a}_1}{\text{a}_2}\neq\frac{\text{b}_1}{\text{b}_2}.$
So, $\frac{1}{3}\neq\frac{-2}{\text{k}}$
$\Rightarrow\text{k}\neq-6.$

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

Explore more

More "M.C.Q (1 Marks)" from Pair of Linear Equations in Two variables→Pair of Linear Equations in Two variables — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

For any collection of $n$ items,$\Big(\sum\text{x}\Big)-\overline{\text{x}}=$
→
21. If the sum of the roots of the equation $x^2-x=\lambda(2 x-1)$ is zero, then $\lambda=$
→
The quadratic polynomial whose zeroes are reciprocal of the zeroes of quadratic polynomial $a x^2+b x+c, a \neq 0, c \neq 0$, are given by
where $k$ is a non-zero real number.
→
The frequency distribution table given below:
Ankit and Ankita observed and said the following:
Ankit : Median $=58.5$
Ankita : Median $=57.5$
Which of them is/are correct?
Class interval35-4545-5555-6565-75
Frequency8122010
→
The lengths of a vertical rod and its shadow are in the ratio $1:\sqrt{3}.$ The angle of elevation of the sun is :
→
How many prime numbers are of the form $10 n+1$, where $n$ is a natural number such that $1 \leq n<10$ ?
→
If the mid point of the line segment joining $A(x, y+1)$ and $B(x+1, y+2)$ is $C(3 / 2,5 / 2)$, then $x$ and $y$ respectively are
→
A circle of radius 3 units is centered at ( 0,0 ). Which of the following points lie outside the circle?
→
In what ratio does the x-axis divide the join of A(2, -3) and B(5, 6)?
→
If $x=5$ is a solution of the quadratic equation $2 x^2+(k-1) x+10=0$, then the value of $k$ is :
→