Team Gmath EXERCISE 7.3(Integration) Find the integrals of the functions in Exercises 1 to 22:(Ex 7.3 integration ncert maths solution class 12) Question 1: Solution: Let Using formula Question 2: Question: Let Question 3: Solution: Let Using the identity given expression can be written as Question 4: Solution: Let Let Substitute , Question 5: Solution: Let Let … Read more
Question 3:- Show that of all the rectangles inscribed in a given fixed circle, the square has maximum area. Solution: LetPQRS be the rectangle inscribed in a given circle with centre and radius a. Let and be the length and breadth of the rectangle, that is, and In right angled ΔPQR, using Pythagoras theorem, –(i) … Read more
EXERCISE 3.3(Trigonometric Function) Prove that:(Ex 3.3 Trigonomety ncert maths solution class 11) Question 1: Solution: L.H.S. Question 2: Solution: Question 3: Solution: L.H.S. Question 4: Solution: L.H.S Question 5: Find the value of: (i) (ii) Solution: (i) Using the formula (ii) Using formula Substituting the values Multiply by in and Prove the following: Question … Read more
Question 2:- A rectangula sheet of tin 45 cm by 24 cmis to be made into a box without top, by cutting of square from each corner and folding up the flaps. What should be the side of square to be cutt of so that the volume of the box is maximum? Solution: Length and … Read more
Question 1:- A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box … Read more
EXERCISE 7.2(Integration) Integrate the functions in Exercises 1 to 37:(Ex 7.2 integration ncert solution maths class 12) Question 1: Solution: Let I = Let where is an arbitrary constant. Question 2: Solution: Let Let Question 3: Integrate Solution: Let Question 4: Integrate Solution: Let Let where is an arbitrary constant. Question 5: Solution: The given … Read more
EXERCISE 3.2(Trigonometric Function) Find the values of other five trigonometric functions in Exercises 1 to 5.(Ex 3.2 Trigonomety ncert maths solution class 11) Question 1: , x lies in third quadrant. Solution: Given, Since, We know that Since x lies in third quadrant We know that Since, Now Question 2: , x lies in … Read more
Find an anti derivative (or integral) of the following functions by the method of inspection.(Ex 7.1 integration ncert solution maths class 12) Question 1: Solution: Using method of inspection Thus, the anti derivative of is Question 2: Solution: Using method of inspection Thus, the anti derivative of is Question 3: Solution: Using method of inspection … Read more
Miscellaneous(Exercise 6) Question 1: Using differentials; find the approximate value of each of the following. (a) (b) Answer : (a) Let Let and Then, Now, dy is approximately equal to and given by, Hence, the approximate value of is (b) Let Let and Then, Now, dy is approximately equal to and is given by, Hence, … Read more
EXERCISE 3.1(Trigonometric function) 1. Find the radian measures corresponding to the following degree measures:(Ex 3.1 Trigonometric function ncert solution class 11) (i) 25° (ii) – 47° 30′ (iii) 240° (iv) 520° Solution: (i) Since, Radian Then, (ii) And degree Then, degree Since, Radian Then, Radian (iii) Since, Radian Then, radian (iv) Since, radian Then, radian … Read more