Team Gmath Case Study 1:- On the highway, point A and B, which stand in for Chandigarh and Kurukshetra, respectively, are located nearly 90 kilometres apart. At the same time, a car departs from Kurukshetra and one from Chandigarh. These cars will cross each other in 9 hours if they are travelling in the same direction, and … Read more
Important question for Class 10 Quadratic question Board exam 2025. Do all these question and get full markes in question of quadratic equation. These question cover all types of question Q 1:- Which of the following are quadratic equation? (i) (ii) (iii) (iv) (v) (vi) (vii) Q 2:- In each of the following, find the … Read more
Case Study IV:- Ramesh goes to supermarket to purchase soap cartons for his shop. The store has 100 cartons of Moisturizing soap, 150 cartons of Antibacterial soap, 85 cartons of Natural soap and 115 cartons of chemical-free soap. If Ramesh chooses a carton at random, then answer the following questions. (i) The probability that the … Read more
Case Study III:- Eight ball is a game played on pool table with 15 balls numbered 1 to 15 and a “cue ball” that is solid and white. Of the 15 numbered balls, eight are solid(Non white) coloured and numbered 1 to 8 and seven are striped balls balls numbered 9 to 15. The 15 … Read more
Case Study II:- A manufacturer produces two types of TV sets Type A and Type-B. The following table gives the result of a quality control check of a day’s production. Type-A Type-B Defective 20 30 Non-defective 180 270 (i) What is the probability that a TV set selected at random from the production is defective … Read more
Case Study 1:- A survey was conducted in a college to find out how many students were interested in sports and music. The following table gives the result of the survey. Sports Only Music Only Both Sports and Music Neither Sports Nor Music Boys 40 60 20 30 Girls 30 50 15 35 (i) … Read more
Find the nth differential coefficient of x^3 cos x . This solution employs Leibnitz’s theorem, addressing the application and simplification of the nth derivative. For x^3 cos x , higher-order derivatives of x^3 beyond the fourth will become zero, simplifying the calculations. The detailed solution explores the use of trigonometric identities and combinations to derive … Read more
Learn how to Find the value of nth derivative of y=cos x cos 2x cos 3x using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 10:- Find the value of nth derivative of . Solution:- Let ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ Differentiate with respect to x ⇒ … Read more
Learn how to find nth derivative of the funcrtion e^x sin^2 x using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 9:- Find nth derivative of the funcrtion . Solution:- Let ⇒ ⇒ Differentiate with respect to x ⇒ ⇒ . . . (i) Let then Thus, … Read more
Learn how to Find nth derivative of lox x^2using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 8:- Find nth derivative of Solution:- Let ⇒ Differentiate with respect to x ⇒ Again differentiate with respect to x Again differentiate with respect to x ⇒ Now differentiate for … Read more