Engineering Questions — Mathematics — Jee Main
67 solved questions with detailed explanations
Q.23. Let A, B be points on the two half-lines x-, a > 0 at a distance of a from their point of intersection P. The line segment AB meets the angle bisector of the given half-lines at the point Q. If
Q.14. If and are two vectors such that and , then the maximum value of is :
Q.8. If the mean of the data Class: 5-10, 10-15, 15-20, 20-25, 25-30, 30-35 Frequency: 2, k, 28, 54, k+1, 5 is 21, then k is one of the roots of the equation :
Q.21. If the domain of the function is , then the value of is
Q.21. Let satisfy for some . Then is equal to ________.
Q.18. Let , , be a A. P. and be the minimum value of . Then the value of the integral is:
Q.13. The shortest distance between the lines and , , is :
Q.17. The value of is:
Q.25. Let f be a twice differentiable function such that , . Then is equal to ________.
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.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.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.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 :