Engineering Questions — Mathematics
122 solved questions with detailed explanations
Q.1. Let be defined as . Then is:
Q.11. If , then the value of is :
Q.9. Let the mid points of the sides of a triangle ABC be , and . If its incentre is , then is equal to :
Q.5. Let be a set of matrices. Then the number of matrices in S, for which the sum of the diagonal elements is equal to 4, is:
Q.6. Let . Then the sum of all elements of the matrix is equal to :
Q.18. The area of the region bounded by the curves x + 3y= 0 and x + 4y = 1 is equal to :
Q.11. The eccentricity of an ellipse E with centre at the origin O is and its directrices are . Let H: be a hyperbola whose eccentricity is equal to the length of semi-major axis of E, and whose len
Q.1. Let , be the roots of the quadratic equation for some . Then is equal to :
Q.14. Let . Then is equal to:
Q.18. The value of the integral is: