Team Gmath Karnataka 2nd PUC Result 2025 Out Today Check Scorecard, Pass Percentage, and New Exam Format The wait is finally over for Karnataka Class 12 students! The Karnataka School Examination and Assessment Board (KSEAB) is all set to announce the 2nd PUC Exam 1 Results 2025 today, April 1, at 12:30 PM. The official websites — … Read more
MBOSE SSLC Result 2025 Declared: Check Class 10 Scores Online Now ! The Meghalaya Board of School Education (MBOSE) has officially announced the results for the SSLC (Class 10) Board Exams 2025 on April 5, 2025. Students who appeared for the exams can now access their MBOSE SSLC results online through the board’s official portals. … Read more
HPU Exam Date Revised for 2025: Check Updated Schedule for BA, BSc & BCom. Himachal Pradesh University (HPU) has officially revised the exam schedule for the 2025 annual exams for B.A., B.Sc., and B.Com courses. The updated dates apply to students from 1st, 2nd, and 3rd year. Students can now check the new exam schedule … Read more
UPSC CDS I Admit Card 2025 Released – Download Now at upsconline.gov.in The Union Public Service Commission http://upsconline.gov.in(UPSC) has officially released the CDS I 2025 Admit Card for candidates appearing in the upcoming Combined Defence Services Examination (CDSE I). Aspirants can now download their hall tickets directly from the official website. The admit card will … Read more
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