NCERT Solutions for Class 10 Maths Chapter 11 Constructions Constructions NCERT Solutions – Class 10 Maths Exercise 11.1 : Solutions of Questions on Page Number : 219 Q1 : Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts. Give the justification of the construction. Answer : A line segment of length 7.6 cm can be divided in the ratio of 5:8 as follows. Step 1 Draw line segment AB of 7.6 cm and draw a ray AX making an acute angle with line segment AB. Step 2 Locate 13 (=…
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NCERT Solutions for Class 10 Maths Chapter 10 Circles Circles NCERT Solutions – Class 10 Maths Exercise 10.1 : Solutions of Questions on Page Number : 204 Q1 :How many tangents can a circle have? Answer : A circle can have infinite tangents. Q2 : 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…
NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Some Applications of Trigonometry NCERT Solutions – Class 10 Maths Exercise 9.1 : Solutions of Questions on Page Number : 203 Q1 : A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30 °. Answer : It can be observed from the figure that AB is the pole. In ΔABC, Therefore, the height…
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Introduction to Trigonometry Solutions – Class 10 Maths Exercise 8.1 : Solutions of Questions on Page Number : 181 Q1 : In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine (i) sin A, cos A (ii) sin C, cos C Answer : Applying Pythagoras theorem for ΔABC, we obtain AC2 = AB2 + BC2 = (24 cm)2 + (7 cm)2 = (576 + 49) cm2 = 625 cm2 ∴ AC = cm = 25 cm (i) sin A = cos A = (ii) sin…
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry. This chapter covers following topics and sub-topics. 7.1 – Introduction, 7.2 – Distance Formula, 7.3 – Section Formula, 7.4 – Area of a Triangle and 7.5 – Summary. Coordinate Geometry NCERT Solutions – Class 10 Maths Q1 : Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (-5, 7), (-1, 3) (iii) (a, b), (- a, – b) Answer : (i) Distance between the two points is given by (ii) Distance between is given by (iii) Distance between is given by Q2 : Find the distance…
NCERT Solutions for Class 10 Maths Chapter 6 Triangles NCERT Chapter 6 Solutions – Triangles – Class 10 Maths Exercise 6.1 : Solutions of Questions on Page Number : 122 Q1 : Fill in the blanks using correct word given in the brackets:- (i) All circles are __________. (congruent, similar) (ii) All squares are __________. (similar, congruent) (iii) All __________ triangles are similar. (isosceles, equilateral) (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and (b) their corresponding sides are __________. (equal, proportional) Answer : (i) Similar (ii) Similar (iii) Equilateral…
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Exercise 5.1 : Solutions of Questions on Page Number : 99 Q1 : In which of the following situations, does the list of numbers involved make as arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time. (iii) The cost of digging a well after every metre of…
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.1 : Solutions of Questions on Page Number : 73 Q1 : Check whether the following are quadratic equations: Answer : It is of the form . Hence, the given equation is a quadratic equation. It is of the form . Hence, the given equation is a quadratic equation. It is not of the form . Hence, the given equation is not a quadratic equation. It is of the form . Hence, the given equation is a quadratic equation. It is of the form . Hence, the given equation…
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Liner Equations in two variables NCERT Solutions for Class 10 Maths Chapter 3 Pair of Liner Equations in two variables Exercise 3.1 : Solutions of Questions on Page Number : 44 Q1 : 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. Answer : Let the present age of Aftab be x. And, present age of his…
NCERT Solutions for Class 10 Maths Chapter 2 – Polynomials Exercise 2.1 : Solutions of Questions on Page Number : 28 Q1 : The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case. (i) (ii) (iii) (iv) (v) (vi) Answer : (i) The number of zeroes is 0 as the graph does not cut the x-axis at any point. (ii) The number of zeroes is 1 as the graph intersects the x-axis at only 1 point. (iii) The number of zeroes is 3 as the graph…