যদি 3/2 ঢাল বিশিষ্ট একটি সরলরেখা ax+3y-7=0 সরলরেখার উপর লম্ব হয়, তবে a এর মান হল-

Explanation:

Another Explanation (5): ```html Let the given equation of the straight line be \( ax + 3y - 7 = 0 \). We can rewrite it as \( 3y = -ax + 7 \), or \( y = -\frac{a}{3}x + \frac{7}{3} \). The slope of this line is \( m_1 = -\frac{a}{3} \). Given that another straight line has a slope of \( m_2 = \frac{3}{2} \). Since the two lines are perpendicular, the product of their slopes is -1. Therefore, \( m_1 \cdot m_2 = -1 \). \( \Rightarrow \left(-\frac{a}{3}\right) \cdot \left(\frac{3}{2}\right) = -1 \) \( \Rightarrow -\frac{3a}{6} = -1 \) \( \Rightarrow -\frac{a}{2} = -1 \) \( \Rightarrow a = 2 \) So, the value of \( a \) is 2. Answer: 2. 🎉🎉🎉 ```