Engineering Questions — Mathematics
131 solved questions with detailed explanations
Q.12. The sum of all the integral values of p such that the equation , , has at least one solution, is :
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.25. Let f be a twice differentiable function such that , . Then is equal to ________.
Q.9. A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so that no bag is empty, is
Q.23. If the sum of the coefficients of and in the expansion of , , is zero, then the value of n is
Q.16. Let for some , be a function satisfying for all . If and , then the value of is :
Q.4. Let the set of all values of such that the equation , , has at least one solution, be the interval [, ]. Then is equal to:
Q.4. Let and . If , then equals :
Q.2. The number of values of , satisfying the equations and , is :
Q.25. Let be the solution of the differential equation , . If , then the greatest integer less than is ________.
Q.7. The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any lett
Q.13. If , , then the value of is :
Q.25. If , then is equal to
Q.20. Let be the solution curve of the differential equation , . If the curve passes through the point , then a value of is :
Q.19. Let f: R R be a differentiable function such that for all x, y R and . Then the minimum value of the function , is
Q.16. The area of the region R = {(x,y): , } is equal to :
Q.3. Let and be two distinct roots of the equation . Let the sets {a: and are the eccentricities of hyperbolas} = (, ), and {a: and are the eccentricities of an ellipse and a hyperbola, respecti
Q.15. Let a line L passing through the point be perpendicular to both the vectors and . If is the foot of perpendicular from the origin on the line L, then the value of is :
Q.21. From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal to , where and , then is equal to ________.
Q.20. The integral is equal to :