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CHAPTER 8 Exercise 8.1: Question 1: If the diagonals of a parallelogram are equal, then show that it is a rectangle. Answer: Given that the diagonals of aparallelogram are equal. Let us assume a parallelogram (ABCD) whose diagonals are equal as shown in the figure below. Here (ABCD) is a parallelogram, so we can write that […]

EXERCISE 7.1 Question 1: In quadrilateral (ACBD,space AC=AD) and (AB) (angle A) (See the given figure). Show thatn (triangle ABC≅triangle ABD). What can you about (BC) and (BD)? Answer: Given: In quadrilateral (ACBD,space AC=AD) and (AB) is bisected by (angle A). To find: show that (triangle ABC≅ABD). In (triangle ABC,space triangle ABD) (AC=AD) (Given) (angle CAB=angle

EXERCISE 6.1 Question 1 In the given figure, line (AB) and (CD) interesect at (O). If (angle AOC+angle BOE=70^0) and (angle BOD=40^0) find reflex (angle COE). Answer:  Given: The line (AB) and (CD) intersect at (O). (angle AOC+angle BOE=70^0) (angle BOD=40^0) And (AB) is a straight line: rays n the line are (OC) and (OE).

Introduction To Euclid’s GeometryExercise 5.1 Question 1: Which o the following statements are true and which are false? give reasons for your answers.(i) Only one line can pass through a single point.Answer: FalseBecause an endless number of lines can pass through a single point ‘ P ‘ below. There exists an infinite number of lines

Exercise 4.1 Question 1: The cost of a notebook is twise cost of a pen. Write a linear equation in two variable to represent this statement. (Take the cost of a notebook to be Rs. (x) and that of a pen to be Rs. (y).) Answer: Let the cost of a notebook be Rs. (x)

Chapter 3 – Coordinate Geometry Exercise – 3.1Question 1:  How will you describe the position of a table lamp on your study table to another person?Answer: Let us consider the given below figure of a study stable, on which a study lamp is placed. From the above figure,● Let us consider the lamp on the table

  Exercise 2.1 Question 1: Which of the following expressions are polynomials in one variable and which are not? State the reason for your answer. i. (4x^2-3x+7) ii. (y^2+sqrt2) iii. (3sqrt{t}+tsqrt2) iv. (y+frac{2}{y}) v. (y+2y^{-1}) Answer: A polynomial in one variable refers to an expression where the exponent of the variable is a whole number. i.

   Exercise 1.1 Question 1: Do you think zero is a rational number? If it is, then can it be expressed in the form (frac{P}{q}), of  where (p) and (q) are integers an (qtheta0) d ? Describe it. Answer: Remember that, according to the definition of rational number, a rational number is a number that

Exercise 15.1 Question 1: Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = _______. (ii) The probability of an event that cannot happen is _________. Such as event is called _________. (iii) The probability of an event that is certain to happen is _________. Such as

Exercise 14.1 Question 1: A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. Number of plants 0-1 2-4 4-6 6-8 8-10