Tag: India
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Complex Numbers Practice Test (Mathematics)
Q 1. Triangle ABC, A(z1), B(z2), C(z3) is inscribed in the circle |z| = 2. If internal bisector of the angle A meets its circumcircle again at D(zd) thenA. zd2 = z2z3B. zd2 = z1z3C. zd2 = z2z1D. none of these Show Answer Answer:-A. zd2 = z2z3 Q 2. If the complex numbers z1, z2, z3 represent the vertices of…
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Equation of a Straight Line Questions and Answers
Q 1.A straight line through P(1, 2) is such that its intercept between the axes is bisected at P. Its equation isA. x – y + 1 = 0B. x + y – 3 = 0C. 2x + y – 4 = 0D. x + 2y = 5 Show Answer Answer:-C. 2x + y –…
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Coordinate Geometry Questions and Answers
Important Questions for Coordinate Geometry (Mathematics): Q 1. If x is a positive integer such that the distance between points P(x, 2) and Q(3, –6) is 10 units, then x is equal toA. 3B. –3C. –9D. 9 Show Answer Answer:-D. 9 Q 2. A line segment is of length 10 units. If the coordinates of…
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Mathematical Logic Questions
Q 1. Which of the following is not a statementA. Where are you going ?B. 8 is less than 6C. Every set is a finite setD. The sum of interior angles of a triangle is 180 degrees Show Answer Answer:-A. Where are you going ? Q 2. Which of the following is not a statementA.…
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Problem Questions on Polynomials (Algebra):
Q 1. If (2x – 1) is a factor of both 6×2 + ax – 4 and bx2 – 11x + 3, then the values of a and b areA. a = 5, b = 10B. a = 3, b = 10C. b = 2a, a = 4D. a = 2b, b = 2 Show Answer Answer:-A. a =…
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Mathematical Induction and Divisibility problems
Q 1. If n ∈ N, then 72n + 23n – 3. 3n – 1 is always divisible byA. 25B. 35C. 45D. None of these Show Answer Answer:-A. 25 Q 2. If p is a prime number, then np – n is divisible by p when n is aA. Odd numberB. Irrational numberC. Complex numberD. Natural number greater than 1 Show Answer Answer:-D. Natural…
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Current Affairs Quiz – January, 2024
Q 1.What is the purpose of the ‘Bharat Park’ to be set up in the United Arab Emirates, as announced by government recently? A. Promote TourismB. Facilitate Trade of Indian GoodsC. Technology CollaborationD. Cultural Exchange Show Answer Answer:-B. Facilitate Trade of Indian Goods Explanation ‘Bharat Park,’ a project announced by India’s Commerce and Textiles Minister…
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Set Theory Question
Q 1. If two sets A and B have 99 elements in common, then the number of elements common to each of the sets A x B and B x A areA. 299B. 992C. 100D. 18 Show Answer Answer:-B. 992 Q 2. A and B are subsets of a universal set having 12 elements. If A has 7 elements,…
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Quadrilateral Test
Q 1. The diagonals do not necessarily bisect the interior angles at the vertices in aA. rhombus B. squareC. rectangleD. all of these Show Answer Answer:-C. rectangle Q 2. In figure, ABCD is a trapezium in which side AB is parallel to side DC and E is the midpoint of side AD. If F is a…
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Multiple Choice Question on Matrices and Determinants
Q 1. If the system of equations, x + 2y – 3z = 1, (k + 3)z = 3, (2k + 1)x + z = 0 is inconsistent, then the value of k isA. 2B. ½C. 0D. – 3 Show Answer Answer:-D. – 3 Q 2. Let p a non singular matrix 1 + p + p2 + … +…