Team Gmath 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
Case Study question maths class 10 Case Study 3:- In order to organise Annual Sports day a school prepared an eight lane running track with an integrated football field inside the track area as shown below : The length of innermost lane of the track is 400 m and each subsequent lane is 7.6 m … Read more
Case Study question maths class 10 Case Study 2:- Anurag purchased a farmhouse which is in the form of a semicircle of diameter 70 m. He divides it into three parts by taking a point P on the semicircle in such a way that ∠PAB = 30º as shown in the following figure, where O … Read more