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Statement 1: let A( vec i+ vec j+ vec k)...

Statement 1: let `A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k)` be two points. Then point `P(2 vec i+3 vec j+ vec k)` lies exterior to the sphere with `A B` as its diameter. Statement 2: If `Aa n dB` are any two points and `P` is a point in space such that ` vec P Adot vec P B >0` , then point `P` lies exterior to the sphere with `A B` as its diameter.

A

Statement I is true, Statement II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
(d)
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