SBI Clerk Mains Admit Card 2025 Download Now! State Bank of India (SBI) has officially released the SBI Clerk Mains Admit Card 2025 on April 1, 2025. Candidates who have successfully qualified for the preliminary exam can now download their Mains Admit Card from the official website sbi.co.in. The admit card can be accessed from … Read more
Question 8:- Two dice are thrown Defined are the following two events A and B : A = {(x, y): x + y = 9}, B = {(x, y) : x ≠ 3}, Where (x, y) denote a point in the same sample space. Check if events A and B are independent or mutually exclusive. … Read more
Question 7:- If y = log(√x + 1/√x)², then show that . Solution:- Given, y = log(√x + 1/√x)² ⇒ y = 2log(√x + 1/√x) ⇒ ⇒ ⇒ ⇒ Again differentiate with respect to x ⇒ ⇒ ⇒ Question 1:- Using integration, find the area of the region bounded by the line y = 5x … Read more
Question 6:- A die with number 1 to 6 is biased such that P(2) = 3/10 and probability of other numbers is equal. Find the mean of the number of times number 2 appears on the dice, if the dice is thrown twice. Solution:- Probability of number 2 appears on dice P(A) = 3/10 Probability … Read more
Question 5:- Find the shortest distance between the lines : . Solution:- Shortest distance between two skew line Point on Ist line = (-1, 1, 9) and dr’s of Ist line = (2, 1, -3) Point on IInd line = (3, -15, 9) and dr’s of IInd line = (2, -7, 5) Since, ⇒ ⇒ … Read more
Question 4:- Find the image A‘ of the point A (2, 1, 2) in the line l : . Also, find the equation of the line joining AA’. Find the foot of perpendicular from point A on the line l. Solution:- Given point A(2, 1, 2) And line l : Cartesian equation of given line … Read more
Case based 1:- SLV-3 was successfully launched on july 18 1980 from Shriharikota Range (SHAR), when Rohini satellite, RS-1, was placed in orbit, thereby making India the sixth member of an exclusive club of space-faring nations. SLV-3 employed an open loop guidance (with stored pitch programme) to steer the vehicle in flight along a pre-determined … Read more
Question 3:- Solve the differential equation ; given y(1) = 2. [CBSE 2025] Solution:- Given, ⇒ ⇒ ⇒ Integrate both side ⇒ ⇒ ⇒ ⇒ . . . (i) Given y(1) = 2 ⇒ ⇒ Hence, from equation (i) ⇒ ⇒ ⇒ ⇒ ⇒ Question 1:- Using integration, find the area of … Read more
Question 2:- Solve the following differential equation : . Solve:- Given, ⇒ . Compare, ⇒ Let, ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ Solution, ⇒ ⇒ ⇒ ⇒ Question 1:- Using integration, find the area of the region bounded by the line y = 5x + 2, the x- axis and the ordinates x = -2 … Read more
Question 1:- Using integration, find the area of the region bounded by the line y = 5x + 2, the x- axis and the ordinates x = -2 and x = 2. [CBSE 2025] Solution:- Given line, y = 5x + 2 (i) Let x = … Read more