At which point on $y$-axis the line $x = 0$ is a tangent to circle ${x^2} + {y^2} - 2x - 6y + 9 = 0$
At which point on $y$-axis the line $x = 0$ is a tangent to circle ${x^2} + {y^2} - 2x - 6y + 9 = 0$
- A
$(0, 1)$
- B
$(0, 2)$
- C
$(0, 3)$
- D
$(0, 4)$
Similar Questions
Match the statements in Column $I$ with the properties Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.
Column $I$
Column $II$
$(A)$ Two intersecting circles
$(p)$ have a common tangent
$(B)$ Two mutually external circles
$(q)$ have a common normal
$(C)$ two circles, one strictly inside the other
$(r)$ do not have a common tangent
$(D)$ two branches of a hyperbola
$(s)$ do not have a common normal
Match the statements in Column $I$ with the properties Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.
| Column $I$ | Column $II$ |
| $(A)$ Two intersecting circles | $(p)$ have a common tangent |
| $(B)$ Two mutually external circles | $(q)$ have a common normal |
| $(C)$ two circles, one strictly inside the other | $(r)$ do not have a common tangent |
| $(D)$ two branches of a hyperbola | $(s)$ do not have a common normal |
- [IIT 2007]
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- [KVPY 2017]
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