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01 Sept 2023 Notification
[mathjax] Question 1 Divide 2x 3 + 3x + 1 by x + 2 and find the quotient and the reminder. Is q(x) a factor of 2x 3 + 3x + 1 ? Sol : Here, dividend and divisor both are in the standard form. Now, on...
01 Sept 2023 Notification
[mathjax] Question 1 A Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients: x 2 – 3 Sol : Let f (x) = x 2 – 3 Now, if we recall...
01 Sept 2023 Notification
[mathjax] Question 1 Examine, seeing the graph of the polynomials given below, whether they are a linear or quadratic polynomial or neither linear nor quadratic polynomial: (i) Sol : (i) In general,...
01 Sept 2023 Notification
[mathjax] Question 1 C Without actually performing the long division, state whether the following rational numbers have terminating or non-terminating repeating (recurring) decimal expansion....
31 Aug 2023 Notification
add [mathjax] Question 1 Prove that √2 is irrational. Sol : Let us assume that √2 is rational. So, we can find integers p and q (≠ 0) such that √2 $=\frac{p}{q}$ . Suppose p and q have a common...
31 Aug 2023 Notification
[mathjax] Question 1 A Express each of the following numbers as a product of its prime factors: Sol : Given number is 4320 Factorization of 4320 is $\begin{array}{l|l}2 & 4320 \\\hline 2 & 2160...
31 Aug 2023 Notification
[mathjax] Question 1 A Using Euclid’s division algorithm, find the HCF of 156 and 504 Sol : Given numbers are 156 and 504 Here, 504 > 156 So, we divide 504 by 156 By using Euclid’s division lemma...
31 Aug 2023 Notification
[mathjax] EXERCISE 10.1 Type 1 QUESTION 1 Fill in the blanks: (i) A parallelogram will be a rhombus, if and only if its ___are Perpendicular to each other. (ii) A quadrilateral will be a...
31 Aug 2023 Notification
[mathjax] EXERCISE 9.2 Type 1 QUESTION 1 Fill up the blanks so that the statements given below are true : (i) In a triangle, ,difference of any two sides is __ than the third side (ii) In a triangle,...
31 Aug 2023 Notification
[mathjax] EXERCISE 9.1 Type 1 QUESTION 1 Fill up the blanks so that the statement becomes true: (i) If two sides of one triangle and their __ angle are equal to the corresponding two sides and their...
31 Aug 2023 Notification
add [mathjax] Exercise 8.3 (i) In a triangle, minimum number of acute angles is __ Sol : Two (ii) In figure (i) , if ∠ACD=130° , ∠ABC=48° , then ∠BAC=__ Sol : 82° (iii) If a side of a triangle is...
31 Aug 2023 Notification
[mathjax] Exercise 8.2 Type 1 Question 1 Answer the following questions : (i) If any transversal intersects two parallel lines in such a way that the ratio of interior angles on the same side is 2 :...