| Directions (Q. Nos. 1 - 10): In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as: |
| Assertion (A): The distance of the point \[P(6,-6)\] from the origin is 6 units. |
| Reason (R): The distance between two points \[A({{x}_{1}},{{y}_{1}})\]and \[B({{x}_{2}},{{y}_{2}})\]is given by \[AB=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}}\] |
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: D
Solution :
| [d] Let \[P(6,-6)\] be the given point and \[Q(0,0)\] be the origin; |
| Then, \[OP=\sqrt{{{(6-0)}^{2}}+{{(-6-0)}^{2}}}=\sqrt{{{6}^{2}}+{{(-6)}^{2}}}=6\sqrt{2}\] \[\therefore \] Assertion [a] is false but reason (R) is true. |
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