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Class 10 › Mathematics › Coordinate Geometry
CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
For a point $X(a,b)$ where $(b>a>0)$, the value of [distance from x-axis $-$ distance from y-axis] is :
A. $a-b$
B. $b-a$
C. $a^{2}-b^{2}$
D. $b^{2}-a^{2}$
✅ Answer & Solution
✅ Correct Answer: B
Step 1: The distance of a point $(a,b)$ from the x-axis is $|b|$, i.e. the ordinate.
Step 2: The distance of a point $(a,b)$ from the y-axis is $|a|$, i.e. the abscissa.
Step 3: Since $b>a>0$, both $a$ and $b$ are positive, so $|b|=b$ and $|a|=a$.
Step 4: Required value
$$=\text{(distance from x-axis)}-\text{(distance from y-axis)}=b-a$$
Correct option is (B) $b-a$.