Engineering Questions — Mathematics — JEE Main
122 solved questions with detailed explanations
Q.4. Let and . If det(B) = 66, then det(adj (A)) equals :
Q.7. A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the the envelope just two consecutive letters AN are visible. The probability, that the letter came from ANANTPUR
Q.3. Let A be a matrix such that , and . If , then is equal to :
Q.1. Consider the relation R on the set defined by if and only if . Then among the statements : I. The number of elements in R is 17 II. R is an equivalence relation
Q.17. The product of all possible values of , for which , is :
Q.5. Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let B be the set of first 71 terms of an A.P., whose first term is 9 and the common differ
Q.12. Let and , where inverse trigonometric functions take only the principal values. Given below are two statements: Statement I: Statement II: In the light of the above statements, choose the cor
Q.7. The number of elements in the set is :
Q.22. If , then is equal to
Q.4. The number of functions , which are not onto, is :