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(b) π/2 ⇒ ∠QSP = 60°; Academic Partner. ⇒ (sin 6x/cos 6x) + (sin 6x/cos 6x) (c) a = b = c (d) (2 – e²)3/2, Answer: (d) (2 – e²)3/2 (a) tan 30 The system of linear equations x + y + z = 2, 2x + y - z = 3, 3x + 2y - kz = 4 has a unique solution if , 20. Use MCQ Questions for Class 9 Maths with Answers during preparation and score maximum marks in the exam. (a) 2 – e² ⇒ a : b : c = (√5 – 1) : {√(10 + 2√5)} : 4 ⇒ (sinA + sinB + sinC)/( a + b + c) = 1/2 (d) 3π/2, Answer: (c) 2π/3 For a skew symmetric even ordered matrix A of integers, which of the following will not hold true: 13. Hint: The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is Hint: = tan 60 Given, cos A + 2 cos B + cos C = 2 (c) -1 = sin² (x + y), Question 2. (a) π/3 We have provided Permutations and Combinations Class 11 Maths MCQs Questions with Answers to help students understand the … In this chapter, students taught about the concepts of Ordered pairs, Cartesian product of sets, the number of elements in the cartesian product of two finite sets, the definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Practicing these CBSE NCERT MCQ Questions of Class 11 Maths with Answers Pdf will guide students to do a quick revision for all the concepts present in each chapter … ⇒ a + c = 2b, Question 4. (c) (2 – e²)² If A and B are two matrices conformable to multiplication such that their product AB = O(Zero matrix). Hint: 17.  square matrix A = [aij]n×n is called a lower triangular matrix if aij = 0 for, 18. ⇒ 2sin(A/2)sin(C/2) = sin(B/2) Wishing to crack the MCQs sections in the board examinations, then you should practice & prepare all concepts thoroughly … ⇒ cos((A-C)/2) = 2cos((A+C)/2) ⇒ Cos A = (49 + 64 – 169)/(2×7×8) The chapter-wise multiple-choice questions are provided at BYJU’S to make all students learn each concept and help them to score better marks in exams. Here you will find Chapter Wise NCERT MCQ Questions for Class 12 Maths with Answers PDF Free Download based on the important concepts and topics given in the textbook. Class 12 Maths Chapter 5 Continuity and Differentiability Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. 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So, 4 × sin x × sin(x + π/3) × sin(x + 2π/3) = sin 3x, Question 19. ⇒ cot (A – B) = 1/x + 1/y, Question 20. = [{cos 40 + sin30}/{-sin30 + cos 40}] × (sin 20/cos 20) cos(90 + x) = – sin(x) = sin² y × cos² x + sin² x × cos² y + 2cos x × cos y × sin x × sin y (since sin² x + cos² x = 1 ) Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 9 … ⇒ a + c = 2b, Question 18. (c) 60° Check the below NCERT MCQ Questions for Class 11 Maths Chapter 3 Trigonometric Functions with Answers Pdf free download. = -1 {sin 90 = 1} For a skew symmetric even ordered matrix A of integers, which of the following will not hold true: 3. = cos 20 + 1 – cos 110 – √2 sin65 {since cos 2x = 1 – 2sin² x} = 4 × sin x × {(sin x)/2 + (√3 × cos x)/2} × {-(sin x)/2 + (√3 × cos x)/2} Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 11 Three Dimensional Geometry. Now, sinB/b = 1/2 (d) a² + b² – c², Answer: (d) a² + b² – c² (a) sin x We have ⇒ 2 × sin 2x = 2 = [{cos 40 – cos (90 + 30)}/{cos (90 + 30) + cos 40}] × (sin 20/cos 20) = {sin (x + y)}² = [{cos 40 – cos 120}/{cos 120 + cos 40}] × (sin 20/cos 20) Class 11 Chemistry MCQs Questions with Answers Chapter Wise PDF Download Solving the Objective Questions for 11th Class Chemistry helps you be aware of the type of the questions asked in the exam. The general solution of √3 cos x – sin x = 1 is = 1 + cos 20 – cos 110 – √2 sin65 So, the angle are: 18, 72, 90 (b) tan 60 (c) π/2 (c) 1 (b) sin 2x ⇒ a + c – b = b Important & Chapter-wise MCQ Questions for Class 11 Physics with Answers PDF are furnished here for the students who are preparing for the CBSE 11th Board Exams. 1800-212-7858 / … Given b = 2 So, cos 20 + 2sin² 55 – √2 sin65 = 1, Question 16. ⇒ (a × sin x – b × cos x)² = a² + b² – c², Question 3. 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The value of tan 20 × tan 40 × tan 80 is If the system of equationsx + 4 ay + az = 0, x + 3by + bz = 0 andx + 2 cy +cz = 0 have a non-zero solution,then a, b, c are in. Now Cos A = (b² + c² – a²)/2bc (b) b² = a × c ⇒ 2 sin(B/2)cos((A-C)/2) = 4sin² (B/2) MCQ Questions for Class 6 Maths with Answers were prepared based on the latest exam pattern. Hence, its opposite angles are equal; so ∠P = ∠QSP = 120°, Question 17. {since cos(x + y) = cos x × cos y – sin x × sin y } = [{sin 40 × sin 80}/{cos 40 × cos 80}] × (sin 20/cos 20) Free PDF Download of CBSE Maths Multiple Choice Questions for Class 7 with Answers Chapter 3 Data Handling. (d) 1/x + 1/y, Answer: (d) 1/x + 1/y Since a : b : c = sin A : sin B : sin C ⇒ AC² = {√(1 – e²)}² + 12 Given, sec θ + tan³ θ × cosec θ ⇒ sin (x – 60) = 1/2 So, you can practice different concepts […] = sin x × {-sin 2x + 3 – 3 × sin 2x} We strive our best to provide you various Objective Questions of CBSE Class 7 Maths so that you … (a×cos x + b × sin x)² + (a × sin x – b × cos x)² = a² + b² Students can download the Exponents and Powers Class 7 MCQs Questions with Answers from here and test their problem-solving skills. 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