Aका वह मान ज्ञात कीजिए जिसक�

1.	Aका वह मान ज्ञात कीजिए जिसके लिए निकाय ax+2y=2 8x+ay=4के अनन्त अनेक हल प्राप्त हो
Answer» SOLUTION TO DETERMINE The value of a for which the equations have infinite number of SOLUTIONS ax + 2y = 2 , 8x + ay = 4 CONCEPT TO BE IMPLEMENTED For the given TWO linear equations $\displaystyle \sf{ a_1x+b_1y+c_1=0 \: and \: \: a_2x+b_2y+c_2=0}$ Consistent : One of the Below two condition is satisfied 1. UNIQUE solution : $\displaystyle \sf{ \: \frac{a_1}{a_2} \ne \frac{b_1}{b_2} }$ 2. Infinite number of solutions : $\displaystyle \sf{ \: \frac{a_1}{a_2} = \frac{b_1}{b_2} = \: \frac{c_1}{c_2}}$ Inconsistent : No solution $\displaystyle \sf{ \: \frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \: \frac{c_1}{c_2}}$ EVALUATION Here the given equations are ax + 2y = 2 8x + ay = 4 Now it is given that the equations have infinite number of solutions Thus we get $\displaystyle \sf{ \frac{ a}{8} = \frac{2}{a} = \frac{2}{4} }$ $\displaystyle \sf{ \implies \: \frac{ a}{8} = \frac{1}{2} }$ $\displaystyle \sf{ \implies \: a = \frac{8}{2} }$ $\displaystyle \sf{ \implies \: a = 4 }$ FINAL ANSWER Hence the required value of a = 4 ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts X and Y-axis? brainly.in/question/18185770 2. Find the point where the graph of 0.25x + 0.05y =1.00 intersects the y-axis: brainly.in/question/26332017