Ncert solutions for class 11 maths chapter 3
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Q8 :Find the value of the trigonometric function Answer : It is known that the values of tan x repeat after an interval of π or 180°. Q8 :For the matrix , verify that i is a symmetric matrix ii is a skew symmetric matrix Answer : i Hence, is a symmetric matrix. Q9 :Find the value of the trigonometric function Answer : It is known that the values of sin x repeat after an interval of 2π or 360°. Answer : Since x lies in the 3rd quadrant, the value of sec x will be negative. Q4 :Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm. Therefore, A — 1 does not exist.

She gives some laddus to guests and family members; still 5 laddus remain. If the total number of notes is 200. Answer : Since x lies in the 4th quadrant, the value of sin x will be negative. The topics and sub-topics in Chapter 3 Matrices 3. Q5 :Show that the matrix is symmetric or skew symmetric according as Ais symmetric or skew symmetric. All in all, these solutions can be a good self-study material.

If you are interested in checking out courses for Class 10 and demo videos then. Therefore,, and are all positive. Two neighboring squares have a common matchstick. What is the slope of a line passing through the origin and, the mid- point of the line- segment joining the two points O 0, -5 and A 9, 0? State the name of a regular polygon of i 3 sides ii 4 sides iii 6 sides Answer - A polygon with equal sides and equal angles is called a regular polygon. Q11 : Find the matrix X so that Answer : It is given that: The matrix given on the R. Q15 :If Ais square matrix such that then is equal to A.

Hence, in 6 complete revolutions, it will turn an angle of 6 × 2π radian, i. Now, we suppose that Ais a skew-symmetric matrix. Sum of n terms, n 2 terms, n 3 terms, Finding sum of series. Therefore, Xhas to be a 2 ×2 matrix. This is useful when you want to look for a particular question or example. Just use the comment box below to leave any message.

. Representing A as the sum of P and Q: iv Thus, is a symmetric matrix. Answer : Answer: C On comparing the corresponding elements, we have: Q14 :If the matrix Ais both symmetric and skew symmetric, then A. Question 10 Oranges are to be transferred from larger boxes into smaller boxes. Q15 :Find the inverse of each of the matrices, if it exists. Find the speeds of the train and the bus. Feedback and counseling are provided via periodic assessments.

Comparing the corresponding elements of the two matrices, we have: Exercise 3. Answer : We know that if a matrix is of the order m x n, it has mn elements. Further, it takes 20 minutes longer, if the travels 200 km by train and rest by bus. Students have the luxury to customize their learning experience by studying each topic at their own pace without worrying about deadlines or without rushing. First a topic is explained, and then their questions of that topic - from easy to difficult. This number is equal to the number of rows in matrix B.

Consequently, the total cost prices of all the products in market I can be represented in the form of a matrix as: Since the total revenue in market I isRs 46000, the gross profit in this marketis Rs 46000 — Rs 31000 Rs 15000. Thus, is a skew-symmetric matrix. Just follow them and start learning process. Hence, the possible orders of a matrix having 13 elements are 1 x 13 and 13 x 1. Now, each of the 9 elements can be filled in two possible ways.

If the trust fund must obtain an annual total interest of: a Rs 1,800 b Rs 2,000 Answer : a Let Rs x be invested in the first bond. Hint: A regular hexagon has all its six sides equal in length. Find the length of minor arc of chord. We have invested our full dedicated efforts just to make them easier for you all. Sol: It is known that the values of tan y repeat after an interval of 360° or 2n. The ordered pairs are: 1, 24 , 24, 1 , 2, 12 , 12, 2 , 3, 8 , 8, 3 , 4, 6 , and 6, 4 Hence, the possible orders of a matrix having 24 elements are: 1 x 24, 24 x 1, 2 x 12, 12 x 2, 3 x 8, 8 x 3, 4 x 6, and 6 x 4 1, 13 and 13, 1 are the ordered pairs of natural numbers whose product is 13.

Besides, students can bring in all their queries regarding other subjects including physics, chemistry, and biology as well. In each chapter, we have divided it into two parts - Serial Order Wise and Concept Wise. Then, the sum of money invested in the second bond will be Rs 30000 — x. It has six faces and all of them are identical squares. Find the length of minor arc of the chord. Q13 :Choose the correct answer in the following questions: If is such that then A. The given matrix of the order 3 x 3 has 9 elements and each of these elements can be either 0 or 1.