Engineering Questions — Mathematics
131 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.22. Let the centre of the circle be in the first quadrant and lie on the line . Let the area of an equilateral triangle inscribed in the circle be . Then the square of the length of the chord of th
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.12. is equal to :
Q.3. Let be a complex number such that and . Then is equal to :
Q.20. Let be the base of natural logarithm and let and be two bijective functions such that is strictly decreasing and is strictly increasing. If , then the area of the region is :
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.2. Let and be real number such that . Then the value of is :
Q.8. The mean deviation about the mean for the data [Figure: Data table with x and f values] is equal to :
Q.5. The value of is:
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.24. For the functions , and , , let . If the first term of a G.P. is , its common ratio is and the sum of its first 10 terms is , , then is equal to ________.
Q.15. The square of the distance of the point from the line along the line is equal to:
Q.24. Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal intercepts from the coordinate axes. If the length of the chord of C
Q.5. Let upto 40 terms. If is a root of the equation , , then is equal to :