Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 10 Exercise 10.1 on Circles. Solutions cover the fundamental concepts of tangents and secants, including defining a tangent and a secant, identifying the point of contact, and determining the maximum number of parallel tangents a circle can have (Q.1, Q.2). Practice applying the property that … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 8 Exercise 8.1 on Introduction to Trigonometry. Learn to calculate all six trigonometric ratios ($\sin, \cos, \tan, \csc, \sec, \cot$) using the sides of a right-angled triangle and the Pythagorean theorem (Q.1, Q.3, Q.4, Q.5). Solutions include problems simplifying complex trigonometric expressions (Q.7), verifying identities … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 7 Exercise 7.1. Master the use of the Distance Formula to find the distance between pairs of points (Q.1, Q.2). Solutions cover essential coordinate geometry concepts: determining if three points are collinear (Q.3), checking if given coordinates form an isosceles triangle (Q.4), and classifying quadrilaterals … Read more
Rbse Solutions for Class 10 Maths Chapter 6 EXERCISE 6.3 1. State which pairs of triangles in the figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form: Solution: (i) Given, in ΔABC and ΔPQR, ∠A = ∠P = 60° … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 6 Exercise 6.1 on Similar Figures. Master the definition of similarity and the two crucial conditions for similar polygons (equal angles and proportional sides) (Q.1). Practice identifying and providing examples of similar and non-similar figures (Q.2). Crucially, analyze given quadrilaterals (a square/rectangle and a rhombus … Read more
Rbse Solutions for Class 10 Maths Chapter 6 Exercise 6.2 1. In figure. (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Solution: (i) Given, in â–³ ABC, DE∥BC ∴ AD/DB = AE/EC [Using Basic proportionality theorem] ⇒1.5/3 = 1/EC ⇒EC = 3/1.5 EC = 3×10/15 = 2 cm Hence, EC … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 14 Exercise 14.1 on Introduction to Probability. Solutions cover fundamental concepts, including definitions (Q.1, Q.4), mutually exclusive events, complementary events ($P(E) + P(\text{not } E) = 1$) (Q.5, Q.7), and equally likely outcomes (Q.2, Q.3). Practice calculations involving coins (Q.23, Q.25), dice (Q.13, Q.22, Q.24), … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 13 Exercise 13.3. Master the calculation of Median using cumulative frequency, Mean (Step-Deviation Method), and Mode for grouped data (Q.1, Q.6). Learn to solve crucial problems like finding missing frequencies ($x$ and $y$) when the median is given (Q.2) and converting less than type cumulative … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 13 Exercise 13.2 on finding the Mode and Mean of grouped frequency distributions. Solutions cover both measures for the same data set (Q.1, Q.3, Q.4) and include interpretation of the two central tendencies. Learn to accurately identify the modal class and use the Mode formula … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 13 Exercise 13.1 on finding the Mean of Grouped Data. Solutions cover all three methods: Direct Method (Q.1), Assumed Mean Method (Q.2, Q.3, Q.8), and Step-Deviation Method (Q.4, Q.5, Q.6, Q.7, Q.9). Learn how to identify the most suitable method based on the magnitude of … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 12 Exercise 12.1 on calculating the Surface Areas of Combinations of Solids. Master finding the surface area of composite shapes like a cuboid formed by joining two cubes (Q.1), a vessel combining a cylinder and hemisphere (Q.2), and a toy combining a cone and hemisphere … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 12 Exercise 12.2 on calculating the Volumes of Combinations of Solids. Learn to find the volume of composite shapes like a cone on a hemisphere (Q.1) and a cylinder with two cones (Q.2). Solutions cover real-world applications such as finding the syrup volume in gulab … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 11 Exercise 11.1 on Areas Related to Circles Master the formulas for the Area of a Sector ($\frac{\theta}{360} \times \pi r^2$) and the Area of a Segment (Sector Area – Triangle Area). Solutions cover practical problems like finding the area swept by a minute hand … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 10 Exercise 10.2 on Circles. Master the application of the Radius-Tangent Theorem and the theorem that tangents from an external point are equal in length (Q.1, Q.6). Prove core circle theorems including the relationship between the angle between tangents and the angle subtended at the … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 8 Exercise 8.3. Master the use of Pythagorean Identities ($\sin^2 \theta + \cos^2 \theta = 1$, $\sec^2 \theta = 1 + \tan^2 \theta$, $\csc^2 \theta = 1 + \cot^2 \theta$) and algebraic techniques to solve and prove complex trigonometric identities (Q.4, i-x). Practice expressing all … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 8 Exercise 8.2. Practice evaluating complex trigonometric expressions involving the standard angles $30^\circ, 45^\circ, 60^\circ$ (Q.1). Master algebraic manipulation and rationalization of results (Q.1, iv, v). Solutions include choosing and justifying the correct trigonometric option for simplified expressions (Q.2) and solving simultaneous equations to find … Read more
The formulas for the sum of the first $n$ terms of an AP are: 1. Find the Sum of the following APs (i) $2, 7, 12, \dots$, to 10 terms. $a=2, d=5, n=10$. $$S_{10} = \frac{10}{2}[2(2) + (10-1)5]$$ $$S_{10} = 5[4 + 9(5)] = 5[4 + 45] = 5(49) = \mathbf{245}$$ (ii) $-37, -33, -29, … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 5 Exercise 5.1 on Arithmetic Progressions (AP).Class 10 Maths Exercise 5.1, Arithmetic Progression Solutions, AP Common Difference, First Four Terms AP, Identifying AP, Quadratic Equations, Compound Interest AP, Sequence and Series Learn to identify which situations form an AP (constant common difference, $d$) for scenarios … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 5 Exercise 5.2.Class 10 Maths Exercise 5.2, $n$-th Term AP Formula, Arithmetic Progression Solutions, Missing Terms AP, Multiples of a Number AP, Salary Increment Problem, Equal $n$-th Terms AP Master the use of the $n$-th term formula, $a_n = a + (n-1)d$, to find missing … Read more
Get detailed, step-by-step solutions for NCERT Class 10 Maths Chapter 4 Exercise 4.3.Class 10 Maths Exercise 4.3, Discriminant, Nature of Roots, Real Roots, Equal Roots, Quadratic Formula, Value of k, Quadratic Application Problems, Age Problems Quadratic, Perimeter Area Quadratic Master determining the nature of roots of quadratic equations using the discriminant $D=b^2-4ac$ (Q.1). Find the … Read more
Get detailed, step-by-step solutions for NCERT Class 10 Maths Chapter 4 Exercise 4.2 on Quadratic Equations.Class 10 Maths Exercise 4.2, Roots of Quadratic Equations, Factorization Method, Splitting the Middle Term, Quadratic Word Problems, Pythagoras Theorem Quadratic, Consecutive Integers Problem, Right Triangle Sides Master finding the roots of quadratic equations using the Factorization Method (splitting the … Read more
Get detailed, step-by-step solutions for NCERT Class 10 Maths Chapter 4 Exercise 4.1 on Quadratic Equations. Class 10 Maths Exercise 4.1, Check Quadratic Equation, Form Quadratic Equations, Standard Form $ax^2+bx+c=0$, Word Problems Quadratic Equations, Speed Time Distance Problem, Rectangular Plot Area Learn to check if an equation is quadratic by simplifying it to the standard … Read more
Get detailed, step-by-step solutions for NCERT Class 10 Maths Chapter 3 Exercise 3.3. Practice solving pairs of linear equations using both the Elimination Method and the Substitution Method for comparison (Q.1). Master applying the Elimination Method to solve various word problems, including those involving fractions, ages (Nuri and Sonu), two-digit numbers (reversing digits), currency notes … Read more
Get detailed, step-by-step solutions for NCERT Class 10 Maths Chapter 3 Exercise 3.2. Master the Substitution Method to solve pairs of linear equations, including those with fractions and decimals (Q.1). Practice solving systems to find the value of an unknown parameter in a linear relationship (Q.2). Solutions provide complete working for forming and solving various … Read more
Get step-by-step solutions for NCERT Class 10 Maths Chapter 2 Exercise 2.2 on Polynomials. Class 10 Maths Exercise 2.2, Zeroes of Polynomials, Quadratic Polynomials, Vieta’s Formulas, Relationship between Zeroes and Coefficients, Sum and Product of Zeroes, Factorization of Quadratics Learn to find the zeroes of quadratic polynomials using factorization, including difference of squares and splitting … Read more
Get detailed, step-by-step solutions for NCERT Class 10 Maths Chapter 3 Exercise 3.1 on Pairs of Linear Equations in Two Variables. Learn to form linear equations from word problems and find solutions graphically (Q.1, Q.4, Q.7). Master the crucial concept of checking consistency and determining if lines are intersecting, parallel, or coincident by comparing ratios … Read more
Get quick, precise solutions for NCERT Class 10 Maths Chapter 2 Exercise 2.1 on Polynomials. Learn how to determine the number of zeroes of a polynomial $p(x)$ by visually inspecting the graph of $y = p(x)$. The number of zeroes is equal to the count of points where the curve intersects or touches the $x$-axis. … Read more
Get step-by-step solutions for NCERT Class 10 Maths Chapter 1 Exercise 1.2. Learn the proof by contradiction method to establish the irrationality of numbers. Solutions cover proving that $\sqrt{5}$ is irrational (Q.1) and that linear combinations like $3 + 2\sqrt{5}$ and $6 + \sqrt{2}$ are irrational (Q.2-3). Master proofs for $1/\sqrt{2}$ and $7\sqrt{5}$ based on … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 9 Exercise 9.1 on Some Applications of Trigonometry (Heights and Distances). Learn to solve problems involving Angle of Elevation and Angle of Depression using trigonometric ratios ($\sin, \cos, \tan$) and specific angle values ($30^\circ, 45^\circ, 60^\circ$). Solutions cover scenarios like finding the height of a … Read more