Engineering Questions — Mathematics
122 solved questions with detailed explanations
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.4. Consider the system of linear equations in x, y, z :,,,Where is a differentiable function. If this system has infinitely many solutions for all , then f
Q.21. Let A = {1, 2, 3, 4, 5, 6}. The number of one-one functions f: A A such that f(1) 3, f(3) 4 and f(2) + f(3) = 5, is
Q.3. If the system of linear equations : , , . has infinitely many solutions, then the value of equals.
Q.23. Let . If the probability, that for all , is , where , then is equal to
Q.13. If the point of intersection of the lines and lies on xy-plane, then the value of is :
Q.1. Let [] denote the greatest integer function. If the domain of the function is , then is equal to :
Q.8. If the coefficients of the middle terms in the binomial expansions of and , , are equal, then the value of is:
Q.24. Let A, B and C be the vertices of a variable right angled triangle inscribed in the parabola y = 16x. Let the vertex B containing the right angle be (4, 8) and the locus of the centroid of ABC b
Q.23. If S = {: }, then n(S) is equal to ........