A) Statement−I is true; Statement−II is true; Statement − II is a correct explanation for Statement − I.
B) Statement−I is true; Statement−II is true; Statement − II is not a correct explanation for Statement − I.
C) Statement−I is true; Statement−II is false.
D) Statement−I is false; Statement−II is true.
Correct Answer: B
Solution :
Obviously\[y=x+\sqrt{5}\]is common tangent. Statement I is true. Statement 2: Let\[y=mx+\frac{\sqrt{5}}{m}\]is common tangent circle & parabola. \[\Rightarrow \]\[2{{x}^{2}}+2{{y}^{2}}=5\] As tangent \[\left| \frac{m\times 0-0+\frac{\sqrt{5}}{m}}{\sqrt{1+{{m}^{2}}}} \right|=\frac{\sqrt{5}}{2}\] \[{{m}^{4}}+{{m}^{2}}-2=0\] \[\Rightarrow \] \[{{m}^{2}}=1\] \[m=\pm \text{ }1\] So, Statement − II is true. Hence (2).You need to login to perform this action.
You will be redirected in
3 sec