Engineering Questions — Mathematics — Jee Main
67 solved questions with detailed explanations
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.12. 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.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.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.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.17. The product of all possible values of , for which , is :
Q.5. Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let B be the set of first 71 terms of an A.P., whose first term is 9 and the common differ
Q.7. The number of elements in the set is :
Q.16. If , then is equal to:
Q.22. If , then is equal to
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.18. The area of the region bounded by the curves x + 3y= 0 and x + 4y = 1 is equal to :
Q.1. Let , be the roots of the quadratic equation for some . Then is equal to :
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 :