| Assertion (A): The value of y is 6, for which the distance between the points \[P(2,-3)\] and \[Q(10,y)\] is 10. |
| Reason (R): Distance between two given points \[A({{x}_{1}},{{y}_{1}})\]and \[B({{x}_{2}},{{y}_{2}})\] is given 6. |
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: D
Solution :
| [d] \[PQ=10\] |
| \[P{{Q}^{2}}=100\] |
| \[{{(10-2)}^{2}}+{{(y+3)}^{2}}=100\] |
| \[{{(y+3)}^{2}}=100-64=36\] |
| \[y+3=\pm 6\] |
| \[y=-3\pm 6\] |
| \[y=3,-9\] |
| Assertion [a] is false but reason (R) is true. |
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