Engineering Questions — JEE (Main)
81 solved questions with detailed explanations
Q.5. is equal to :
Q.9. A data consists of 20 observations . If and , then the ratio of mean to standard deviation of this data is:
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 . Then is equal to :
Q.32. A body of mass m is taken from the surface of earth to a height equal to twice the radius of earth (R). The increase in potential energy will be ________. (g is acceleration due to gravity at th
Q.3. Let be a complex number such that and . Then is equal to :
Q.75. For a reaction A P at T K, the half life (t) is plotted as a function of initial concentration [A] of A as given below : [Figure: Graph showing half-life (t) on y-axis and initial concentration
Q.24. Let f: RR be a function such that f(x) + 3f(-x) = sinx, x R. Let maximum value of f on R be . If the area of the region bounded by the curves g(x) = x² and h(x) = x³, > 0, is ², then 30³ is eq
Q.27. In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10V and 5 A, respectively. The least counts of voltmeter and ammeter
Q.8. If , then a is equal to :
Q.6. Let tan A, tan B, where , be the roots of the quadratic equation . Then is equal to :
Q.14. The shortest distance between the lines and is:
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.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.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