CBSE
2026
Class Class 10 · Mathematics
1 Marks · Mcq
✅ Verified
Equation of a line coincident with $2{\cdot}5x - 2y = 3$ is :
A. $5x - 4y = 3$
B. $5x - 4y + 6 = 0$
C. $15x - 12y - 3 = 0$
D. $5x - 4y - 6 = 0$
✅ Answer & Solution
✅ Correct Answer: D
Step 1: For coincident lines,
$$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$$
Step 2: Multiply the given equation by $2$ :
$$2(2{\cdot}5x - 2y) = 2(3) \Rightarrow 5x - 4y = 6$$
Step 3: $$5x - 4y - 6 = 0$$
Step 4: This is exactly option (D), so the two lines are coincident.
Correct option : (D)
✅ Verified by Super Admin