| Assertion (A): \[\Delta ABC\] is an isosceles triangle right angled at C, then \[A{{B}^{2}}=2A{{C}^{2}}\]. |
| Reason (R): In right \[\Delta ABC,\] right angled at B, \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: A
Solution :
| [a] Both assertion and reason are true and reason is the correct explanation of assertion. |
| In an isosceles \[\Delta ABC,\]right angled at C is |
| \[A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}\Rightarrow A{{B}^{2}}=A{{C}^{2}}+A{{C}^{2}}\] |
| \[A{{B}^{2}}=2A{{C}^{2}}\] \[(AC=BC)\] |
| So, both assertion and reason are correct and reason explains assertion. |
You need to login to perform this action.
You will be redirected in
3 sec
