Day 138: MHT-CET Maths
5 questions. Try each one first, then open its answer.
Question 1
Determinants and Matrices. Asked 2 times: 11 May 2023 S2*, 9 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked
123If , then the inverse of isTap an option to check your answer.
Question 2
Differential Equations. Asked 2 times: 10 May 2023 S2, 9 May 2024 S1 See all 2 times it was asked
145A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is 3 mm and 1 hour later it reduces to 2 mm, then the expression for the radius R of the raindrop at any time isTap an option to check your answer.
Question 3
Differentiation. Asked 2 times: 11 May 2023 S1, 9 May 2024 S1 See all 2 times it was asked
102If and , then is equal toTap an option to check your answer.
Question 4
Probability Distribution. Asked 2 times: 10 May 2023 S1*, 9 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked
132A, B, C are three events, one of which must and only one can happen. The odds in favor of A are , the odds against B are . Thus, odds against C areTap an option to check your answer.
Question 5
Vectors. Asked 2 times: 10 May 2023 S2, 9 May 2024 S1 See all 2 times it was asked
150Let two non-collinear unit vectors and form an acute angle. A point P moves, so that at any time the position vector , where O is origin, is given by . When P is farthest from origin O, let M be the length of OP and be the unit vector along OP, thenTap an option to check your answer.