Engineering Questions — Mathematics
122 solved questions with detailed explanations
Q.6. The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P. is equal to the common ratio of the G.P. and the first term of th
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.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.20. The value of the integral is:
Q.10. Let an ellipse , , pass through the point and have eccentricity . Then the length of its latus rectum is :
Q.25. Let y = y(x) be the solution of the differential equation (tanx)²dy = (sec³x - (tanx)²y)dx, 0 < x < , y() = . If y() = , then equals .......
Q.19. Let y = y(x) be the solution of the differential equation : , , satisfying . If , than is equal to :
Q.1. Let [] denote the greatest integer function. If the domain of the function is [, ), then is equal to:
Q.13. Let , and . Then is equal to:
Q.10. Let P be a moving point on the circle . Then, the maximum distance of P from the vertex of the parabola is equal to :