Question:medium
If the foot of the perpendicular drawn from the origin to the line $y=mx+c$ is $(1,1)$ then the value of $m$ and $c$ are, respectively,
If the foot of the perpendicular drawn from the origin to the line $y=mx+c$ is $(1,1)$ then the value of $m$ and $c$ are, respectively,
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Logic Tip: A point $(1,1)$ satisfying $y = mx + c$ immediately means $m + c = 1$. Checking the given options, only Option B ($1 - 2 = -1$) and Option C ($-1 + 2 = 1$) are mathematically possible. Calculating just the slope narrows it down instantly.
Updated On: Apr 27, 2026
- 1 and 2
- 1 and -2
- -1 and 2
- 2 and 2
- -1 and -2
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The Correct Option is C
Solution and Explanation
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