Engineering Questions — Mathematics
131 solved questions with detailed explanations
Q.18. The value of the integral is:
Q.17. Let A = {(a, b, c) : a, b, c are non-negative integers and a + b + 2c = 22}. The n(A) is equal to :
Q.3. Let be such that the system of linear equations , , has no solution. Then is equal to :
Q.3. If the system of linear equations : , , . has infinitely many solutions, then the value of equals.
Q.2. The number of values of , satisfying the equations and , is :
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.2. Let one root of the quadratic equation in x: be twice the other. Then the length of the latus rectum of the parabola is equal to:
Q.7. A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th floor. The number of ways, in which any 4 persons exit at a floor an
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.12. Let be a directrix of an ellipse E, whose centre is at the origin and eccentricity is . Let , , be a focus of E and AB be a chord passing through P. Then the locus of the mid point of AB is :
Q.10. A bag contains coins – fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is , then is equal to:
Q.21. Let satisfy for some . Then is equal to ________.
Q.10. If a straight line drawn through the point of intersection of the lines and , meet the co-ordinate axes at the points P and Q, then the locus of the mid point of PQ is:
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.2. If the set of all solutions of is , then is equal to :
Q.17. The value of is: