Theorems on circles - class-X

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Multiple Choice

The range of values of $\lambda$ for which the circles $ { x }^{ 2 }+{ y }^{ 2 }=4$ and ${ x }^{ 2 }+{ y }^{ 2 }-2\lambda y+5=0$ have two common tangents only is-

  1. $\lambda \epsilon \left( -\sqrt { 5 } ,\sqrt { 5 } \right) $
  2. $\lambda <-\sqrt { 5 } or\quad \lambda >\sqrt { 5 }$
  3. $-\sqrt { 5 } <\lambda <1$
  4. none of these
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