For a pair of linear equations- a 1-12- b 1-2- c 1-6 and a 2-24- b 2-4- c 2-7 - Then the linear equation hasA- Two solutionsB- No solutionC- Four solutionsD- Infinite solutions

The correct option is B No solution When a_1/a_2= b_1/b_2 ≠ c_1/c_2, there exists no solution. Here, 12/24=2/4 ≠ 6/7 ⇒ 1/2= 1/2≠ 6/7 , Therefore,there ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Tangent Secant Theorem

For a pair of...

Question

For a pair of linear equations, $a_{1}$ =12, $b_{1}$ = 2, $c_{1}$ = 6 and $a_{2}$ =24, $b_{2}$ =4, $c_{2}$ =7. Then the linear equation has

Four solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Infinite solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Two solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No solution

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
No solution

When $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ ≠ $\frac{c_{1}}{c_{2}}$ , there exists no solution.

Here, $\frac{12}{24}$ = $\frac{2}{4}$ ≠ $\frac{6}{7}$

$\Rightarrow$ $\frac{1}{2}$ = $\frac{1}{2}$ ≠ $\frac{6}{7}$ ,

Therefore,there is no solution for the given linear equation.

Suggest Corrections

Similar questions

For a pair of linear equations
$a_{1} x + b_{1} + c_{1} = 0$ and $a_{2} x + b_{2} + c_{2} = 0$
$a_{1} = 12, b_{1} = 2, c_{1} = 6$ and $a_{2} = 24, b_{2} = 4, c_{2} = 7$ .
Find the number of solutions the pair of equations will have.

Q. Fill in the blank:
If

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

, then the pair of linear equations has ______ solution.

The system of pair of equations $4 x - 3 y + 12 = 0$ and $2 x + 3 y - 15 = 0$ has

Q. For a pair of linear equations:

a_{1} x + b_{1} y = c_{1}

and

a_{2} x + b_{2} y = c_{2}

\frac{a_{1}}{a_{2}}

\frac{b_{1}}{b_{2}}

\frac{c_{1}}{c_{2}}

, then the pair of equations have ______ solution(s).

Q. For

x \in (0, π)

, the equation sin x+2 sin 2x -sin 3x =3 has

Join BYJU'S Learning Program

For a pair of linear equations, a1=12, b1= 2, c1= 6 and a2=24, b2=4, c2=7. Then the linear equation has

The correct option is D No solution When a1a2= b1b2 ≠ c1c2, there exists no solution. Here, 1224=24 ≠ 67 ⇒ 12= 12≠ 67 , Therefore,there is no solution for the given linear equation.

For a pair of linear equations, $a_{1}$ =12, $b_{1}$ = 2, $c_{1}$ = 6 and $a_{2}$ =24, $b_{2}$ =4, $c_{2}$ =7. Then the linear equation has