SHH.NOTES

  Access Answers of NCERT Class 10 Maths Chapter 10 – Circles Exercise: 10.1 (Page No: 209) 1. How many tangents can a circle have? Answer: There can be  infinite  tangents to a circle. A circle is made up of infinite points which are at an equal distance from a point. Since there are infinite points on the circumference of a circle, infinite tangents can be drawn from them. 2. Fill in the blanks: (i) A tangent to a circle intersects it in …………… point(s). (ii) A line intersecting a circle in two points is called a …………. (iii) A circle can have …………… parallel tangents at the most. (iv) The common point of a tangent to a circle and the circle is called ………… Answer: (i) A tangent to a circle intersects it in  one  point(s). (ii) A line intersecting a circle in two points is called a  secant. (iii) A circle can have  two  parallel tangents at the most. (iv) The common point of a tangent to a circle and the circle is called the  point of contact. ...

  Access Answers to NCERT Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables Exercise 3.1 Page: 44 1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically. Solutions: Let the present age of Aftab be ‘x’. And, the present age of his daughter be ‘y’. Now, we can write, seven years ago, Age of Aftab = x-7 Age of his daughter = y-7 According to the question, x−7 = 7(y−7) ⇒x−7 = 7y−49 ⇒x−7y = −42         ………………………(i) Also, three years from now or after three years, Age of Aftab will become = x+3. Age of his daughter will become = y+3 According to the situation given, x+3 = 3(y+3) ⇒x+3 = 3y+9 ⇒x−3y = 6       …………..…………………(ii) Subtracting equation (i) from equation (ii) we have (x−3y)−(x−7y) = 6−(−42) ⇒−3y...