Engineering Questions — JEE (Main)-2026 Session-1
17 solved questions with detailed explanations
Q.8. The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:
Q.6. A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out of bus, scooter and car. The probabili
Q.3. Let be a complex number such that and . Then is equal to :
Q.15. The square of the distance of the point from the line along the line is equal to:
Q.5. Let upto 40 terms. If is a root of the equation , , then is equal to :
Q.4. Let and . If det(B) = 66, then det(adj (A)) equals :
Q.4. The number of functions , which are not onto, is :
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.3. If the system of linear equations : , , . has infinitely many solutions, then the value of equals.
Q.7. The first term of an A.P. of 30 non-negative terms is . If the sum of this A.P. is the cube of its last term, then its common difference is :
Q.2. If the set of all solutions of is , 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.2. The number of values of , satisfying the equations and , is :
Q.13. Suppose the two chords, drawn from the point on the circle are bisected by the y-axis. If the other ends of these chords are R and S, and the mid point of the line segment RS is , then is equ
Q.7. A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :
Q.1. Let [] denote the greatest integer function. If the domain of the function is , then is equal to :