Engineering Questions — Mathematics
131 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.16. If , then is equal to:
Q.22. If , then is equal to
Q.4. The number of functions , which are not onto, is :
Q.1. Let be defined as . Then is:
Q.11. If , then the value of is :
Q.9. Let the mid points of the sides of a triangle ABC be , and . If its incentre is , then is equal to :
Q.5. Let be a set of matrices. Then the number of matrices in S, for which the sum of the diagonal elements is equal to 4, is:
Q.6. Let . Then the sum of all elements of the matrix is equal to :
Q.18. The area of the region bounded by the curves x + 3y= 0 and x + 4y = 1 is equal to :
Q.11. The eccentricity of an ellipse E with centre at the origin O is and its directrices are . Let H: be a hyperbola whose eccentricity is equal to the length of semi-major axis of E, and whose len
Q.1. Let , be the roots of the quadratic equation for some . Then is equal to :
Q.14. Let . Then is equal to: