C-12-Q022mediumsingle_mcq

If $c_1 = c_2 = 0$ and $\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}$ , the unique solution of the system is —

a $(0, 0)$
b $(1, 1)$
c $(-1, 1)$
d $(1, -1)$

ব্যাখ্যা

For a homogeneous system where $\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}$ , the lines intersect at exactly one point, and that point can only be the origin $(0,0)$ , which always satisfies both equations.

এই অধ্যায়ের আরও প্রশ্ন

C-12-Q023To check consistency from coefficient ratios alone (without comparing constant terms), the equations must sati
C-12-Q024For a consistent independent system in two variables, the graphs of the two equations —
C-12-Q025The system is —
C-12-Q026The number of solutions of is —
C-12-Q027The system is —
C-12-Q028The system is —
C-12-Q029The number of solutions of is —
C-12-Q030The system is —
C-12-Q031The number of solutions of is —
C-12-Q032The system is —

Simple Simultaneous Equations in Two Variables — সব প্রশ্ন দেখুন (152টি) →

If $c_1 = c_2 = 0$ and $\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}$ , the unique solution of the system is —

(0, 0)

(1, 1)

(-1, 1)

(1, -1)

If c1=c2=0c_1 = c_2 = 0c1​=c2​=0 and a1a2≠b1b2\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}a2​a1​​=b2​b1​​, the unique solution of the system is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If c1=c2=0c_1 = c_2 = 0c1​=c2​=0 and a1a2≠b1b2\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}a2​a1​​=b2​b1​​, the unique solution of the system is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $c_1 = c_2 = 0$ and $\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}$ , the unique solution of the system is —

If $c_1 = c_2 = 0$ and $\dfrac{a_1}{a_2} \ne \dfrac{b_1}{b_2}$ , the unique solution of the system is —