JEE Advanced Mathematics question

MathematicsDifferential EquationJEE Advanced

In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) If is a nonreal root of then is equal to (ii) The order of the differential equation whose general solution is , where are arbitrary constants and are fixed constants, is (iii) Let and . If then is (iv) If are three mutually perpendicular vectors where then is Column II: (a) (b) (c) (d)

Answer: (4)

Solution

**(i)** The equation is , so and the nonreal roots are and . For either one, , so and → **(d)**. - **(ii)** , so only three independent

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Question ID VK-110284