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Question 1: Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4×2 – 3x + 7 (ii) y2 + √2 (iii) 3 √t + t √2 + (iv) y +…
Read MoreExample 1: Find the degree of each of the polynomials given below: (i) x5 – x4 + 3 (ii) 2 – y2 – y3 + 2y8 (iii) 2 Class 9 | Home Example 2 Prerequisite Though it is quite an…
Read MoreConcept: Basic of polynomials / Introduction of polynomials Class 9 | Home Class 9 | Ex. 2.1 | Question 1 About this tutorial Polynomials are algebraic expressions in which the variable can have only whole number exponents. In this tutorial,…
Read MoreQuestion 12: Prove that a cyclic parallelogram is a rectangle. Question 11 Class 9 | Home Prerequisite It is commonly said that in mathematics one question can be solved in multiple ways. This question is another good example to prove…
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Question 11: ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD. Question 10 Question 12 This question is not correct!!! While visualising the different scenarios of this question, I realised that there is…
Read MoreQuestion 10: If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side. Question 9 Question 11 Prerequisite It is bit tricky question to solve…
Read MoreQuestion 9: Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ACP = ∠QCD.…
Read MoreQuestion 8: If the non-parallel sides of a trapezium are equal, prove that it is cyclic. Question 7 Question 9 Prerequisite Primarily, this entire chapter is based on the cyclic quadrilateral and its properties. To prove that the given trapezium…
Read MoreQuestion 7: If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. Question 6 Question 8 Prerequisite This question has been solved by two different methods –…
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Question 6: ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠ BAC is 30°, find ∠ BCD. Further, if AB = BC, find ∠ ECD. Question 5 Question 7 Prerequisite Most…
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