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Data Handling Maths Class 7 Chapter 3 Ex 3.3 NCERT Solution

Video Solutions For All Chapters Maths Class 7 Q 1, Ex 3.3 – Data Handling – Chapter 3 – Class 7 Maths NCERT Solutions Q 3, Ex 3.3 – Data Handling – Chapter 3 – Class 7 Maths NCERT Solutions Q 4, Ex 3.3 – Data Handling – Chapter 3 – Class 7 Maths NCERT […]

Data Handling Maths Class 7 Chapter 3 Ex 3.2 NCERT Solution

Video Solutions For All Chapters Maths Class 7 Q 1, Ex 3.2 – Data Handling – Chapter 3 – Class 7 Maths NCERT Solutions Q 2, Ex 3.2 – Data Handling – Chapter 3 – Class 7 Maths NCERT Solutions Q 3, Ex 3.2 – Data Handling – Chapter 3 – Class 7 Maths NCERT […]

Data Handling Maths Class 7 Chapter 3 Ex 3.1 NCERT Solution

Video Solutions For All Chapters Maths Class 7 “Data Handling” Chapter 3 – Introduction – Class 7 “आँकड़ो का प्रबंधन” (Data Handling) सार, Ch 3 – Hindi गणित, Maths / Ganit Class 7 Q 1, Ex 3.1 – Data Handling – Chapter 3 – Class 7 Maths NCERT Solutions Q 2, Ex 3.1 – Data […]

Maths Class 7 Chapter 2 Ex 2.7 Question Answer & Topics Video

Fractions and Decimals Q 1, Ex 2.7 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Video Solutions For All Chapters Maths Class 7 Q 2, Ex 2.7 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 3, Ex 2.7 – Fractions and Decimals – Chapter […]

Maths Class 7 Chapter 2 Ex 2.6 Question Answer & Topics Video

Fractions and Decimals Q 1, Ex 2.6 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Video Solutions For All Chapters Maths Class 7 Q 2, Ex 2.6 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 3, Ex 2.6 – Fractions and Decimals – Chapter […]

Fractions & Decimals Maths Class 7 Ch 2 Ex 2.5 NCERT Solution

Video Solutions For All Chapters Maths Class 7 Q 1, Ex 2.5 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 2, Ex 2.5 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 3, Ex 2.5 – Fractions and Decimals – Chapter 2 – Class […]

Fractions and Decimals Maths Class 7 Chapter 2 Ex 2.4 NCERT Solution

Video Solutions For All Chapters Maths Class 7 Q 1, Ex 2.4 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 2, Ex 2.4 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 3, Ex 2.4 – Fractions and Decimals – Chapter 2 – Class […]

Fractions and Decimals Maths Class 7 Chapter 2 Ex 2.3 NCERT Solution

Video Solutions For All Chapters Maths Class 7 Q 1, Ex 2.3 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 2, Ex 2.3 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 3, Ex 2.3 – Fractions and Decimals – Chapter 2 – Class […]

Fractions and Decimals Maths Class 7 Chapter 2 Ex 2.2 NCERT Solution

Video Solutions For All Chapters Maths Class 7 Q 1, Ex 2.2 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 2, Ex 2.2 – Fractions and Decimals – Chapter 2 – Class 7 Maths NCERT Solutions Q 3, Ex 2.2 – Fractions and Decimals – Chapter 2 – Class […]

Fractions and Decimals Maths Class 7 Chapter 2 Ex 2.1 NCERT Solution

Video Solutions For All Chapters Maths Class 7 “भिन्न एवं दशमलव” (Fractions & Decimals ) सार – Ch 2 – Hindi गणित, Maths Class 7th “भिन्न एवं दशमलव” (Fractions & Decimals ) सार, Ch 2 – Part 2 Hindi गणित, Maths Class 7th Q 3(i to iv), Ex 2.1 – Fractions and Decimals – Chapter […]

Class 9 Mathematics Circles R.D Sharma Solutions

Page 16.5 Ex. 16.1 Q1. Answer : (i) All points lying inside or outside a circle are called interior points or exterior points. Let the point P, Q and R are lie inside, outside or on the circle C(O, r) in such a way as given in the figure   Thus the answer is (ii) Given […]

Heron’s Formula, Class 9 Mathematics R.D Sharma Solutions

Page 12.8 Ex. 12.1 Q1. Answer : Whenever we are given the measurement of all sides of a triangle, we basically look for Heron’s formula to find out the area of the triangle. If we denote area of the triangle by A, then the area of a triangle having sides a, b, c and s […]

Quadrilaterals, Class 9 Mathematics R.D Sharma Solutions

Page 14.4 Ex. 14.1 Q1. Answer : Let the measure of the fourth angles be x°. We know that the sum of the angles of a quadrilateral is 360°. Therefore, Hence the measure of the fourth angle is . Q2. Answer : We have ,. So, let , , And By angle sum property of […]

Linear Equations in Two Variables, Class 9 Maths R.D Sharma Solutions

Page 13.3 Ex. 13.1 Q1. Answer : (i) We are given –2x + 3y – 12 = 0 Comparing the given equation with ,we get a=–2; b = 3; c = –12 (ii) We are given Comparing the given equation with ,we get (iii) We are given Comparing the given equation with ,we get (iv) We are given Comparing the given equation with ,we get (v) We […]

Coordinate Geometry, Class 9 Maths R.D Sharma Solutions

Page 11.6 Ex. 11.1 Q1. Answer : The following points are given below.  (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (ix) (x) Letand be the coordinate axes. (i) Here for the given point the abscissa is 2 units and ordinate is 5 units. The point is in the first quadrant. So it will look like […]

Number System, Class 9 Mathematics R.D Sharma Solutions

Page 1.12 Ex. 1.2 Q1. Answer : (i) Given rational number is   Now we have to express this rational number into decimal form. So we will use long division method as below. Hence, (ii) Given rational number is   Now we have to express this rational number into decimal form. So we will use […]

Probability, Class 9 Mathematics R.D Sharma Solutions

Page no. 25.16 Formative Assessment_VSA Q1. Answer : What is the meaning of trial? The word trial means a test of performance, qualities, or suitability. Definition: Any particular performance of a random experiment is called a trial. That is, when we perform an experiment it is called a trial of the experiment. By experiment or trial, […]

Accounts Class 12 Share Capital

Video Solutions For All Chapters Accounts Class 12 Accounting For Share Capital, Introduction (Accounts Class 12th) https://youtube.com/watch?v=tu2ITRwu-hM Accounting For Share Capital, Illustration-1 Page 7.16 – (T.S Grewal Accounts Class 12th) https://www.youtube.com/watch?v=bmynnopGJGw Accounting For Share Capital, Illustration-3 Page 7.17 – (T.S Grewal Accounts Class 12th) https://www.youtube.com/watch?v=1BKq–m5k7U Accounting For Share Capital, Introduction (Accounts Class 12th) https://www.youtube.com/watch?v=Q9vKWMbaCSE Accounting […]

Polynomials, Class 9 Mathematics R.D Sharma Solutions

Algebraic Identities Page no. 4.11 Ex. 4.2  Q1. Answer : In the given problem, we have to find expended form (i) Given We shall use the identity By applying in identity we get  Hence the expended form of is (ii) Given We shall use the identity Here By applying in identity we get  Hence the […]

Maths Class 12 Probability, R.D Sharma Question Answer

Page 31.16 Ex. 31.1 Q1. Answer : Sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Consider the given events. A = An even number on the card B = A number more than 3 on the card Clearly, A = {2, 4, 6, 8, 10} B = {4, 5, 6, 7, […]

Maths Class 12 Three Dimensional Geometry, R.D Sharma Question Answer

DIRECTION COSINES & DIRECTION RATIOS Page 27.22 Ex. 27.1 Q1. Answer : Let the direction cosines of the line be l, m, n. Now, l = cos900 = 0m = cos600 = 12n = cos300 = 32Therefore, the direction cosines of the line are 0, 12, 32. Q2. Answer : Let the direction cosines of the line […]

Maths Class 12 Vector Algebra, R.D Sharma Question Answer

ALGEBRA OF VECTORS Page 23.4 Ex. 23.1 Q1. Answer : (i) The vector OP→ represents the required displacement vector. (ii) The vector OQ→ represents the required vector. (iii) The vector OR→ represents the required vector. Q2. Answer : The quantities which have only magnitude and which are not related to any fixed direction in space […]

Maths Class 12 Differential Equations R.D Sharma Question Answer

Page 22.4 Ex. 22.1 Q1. Answer : In this differential equation, the order of the highest order derivative is 3 and its power is 1. So, it is a differential equation of order 3 and degree 1. It is a non-linear differential equation because the differential coefficient dxdt has exponent 2, which is greater than […]

Maths Class 12 Applications Of Integrals, R.D Sharma Question Answer

Page 21.13 Ex.21.1 Q1. y2=8x  represents a parabola with vertex at origin and axis of symmetry along the +ve direction of x-axisx=2 is line parallel to y-axisLet (x, y)  be a given point on the parabola , y2=8xSince parabola   y2=8x   is symmetric about x-axis ,∴Required area =2 area OCAO On slicing the area above […]

Maths Class 12 Linear Programming, R.D Sharma Question Answer

LINEAR PROGRAMMING Page 30.14 Ex.30.1 Q1. Answer : Let x and y number of gadgets A and B respectively being produced in order to maximize the profit. Since, each unit of gadget A takes 10 hours to be produced by machine A and 6 hours to be produced by machine B and each unit of […]

Maths Class 12 Integrals, R.D Sharma Question Answer

INDEFINITE INTEGRALS Page 19.4 Ex.19.1 Q1. Answer : (i) ∫x4dx=x4+14+1+C =x55+C (ii) ∫x54dx=x54+154+1+C=49×94+C (iii) ∫x-5dx=x-5+1-5+1+C=-14x-4+C=-14×4+C (iv) ∫dxx3/2=∫x-3/2dx=x-32+1-32+1+C=x-12-12+C=-2x+C (v) ∫3xdx=3xln 3+C (vi) ∫dxx23=∫dxx2/3=∫x-2/3 dx=x-23+1-23+1+C=3×13+C (vii) ∫32 log3xdx=∫3log3 x2dx=∫x2dx=x33+C (viii) ∫logxx dx=∫1·dx=x+C Q2. Answer : (i) ∫1+cos 2x2dx ∫2 cos2x2dx ∴1+cos2A=2cos2A=∫cosx dx=sin x+C (ii) ∫1-cos 2x2dx =∫2sin2x2dx ∴1-cos 2x=2sin2x=∫sinx dx=-cos x+C Q3. Answer : ∫e6 log x-e5 […]

Maths Class 12 Applications of Derivatives, R.D Sharma Question Answer

DERIVATIVE AS A RATE MEASURE Page 13.3 Ex.13.1 Q1. Answer : Let T be the total surface area of a cylinder. Then, T = 2πrr+h Since the radius varies, we differentiate the total surface area w.r.t. radius r. Now, dTdr=ddr2πrr+h⇒dTdr=ddr2πr2+ddr2πrh⇒dTdr=4πr+2πh⇒dTdr=2πr+h Q2. Answer : Let V and r be the volume and diameter of the sphere, […]

Maths Class 12 Continuity and Differentiability, R.D Sharma Question Answer

CONTINUITY Page 9.17 Ex.9.1 Q1. Answer : Given: fx=xx, x≠01, x=0 We observe (LHL at x = 0) =limx→0-fx = lim h→0f0-h = lim h→0f-h =limh→0-h-h=limh→0-hh =limh→0-1 =-1 (RHL at x = 0) =limx→0+fx = lim h→0f0+h= lim h→0fh =limh→0hh=limh→0hh=limh→01=1 ∴limx→0+fx ≠limx→0-fx Hence, fx is discontinuous at the origin. Q2. Answer : Given: fx=x2-x-6x-3, x≠35, […]

Maths Class 12 Determinants R.D Sharma Question Answer

Page 6.11 Ex. 6.1 Q1. Answer : (i) M11=-1M21= 20Cij= -1i+jMijC11= -11+1-1 = -1C21 = -11+220 = -20D = -1×5-20×0=-5 (ii) M11= 3M21= 4Cij = -1i+jMijC11=-11+1M11= 3C21=-12+1M21=-4 = -4D=3 × -1 – 4 × 2 = -3 – 8 = -11 (iii) M11= -1252 =-2 – 10=-12M21 = -3252 = -6 – 10 = -16M31 […]

Matrices, Class 12 Mathematics R.D Sharma Question Answer

Page 5.6 Ex. 5.1 Q1. Answer : We know that if a matrix is of order m×n, then it has mn elements. The possible orders of a matrix with 8 elements are given below: 1×8, 2×4, 4×2, 8×1 Thus, there are 4 possible orders of the matrix. The possible orders of a matrix with 5 […]

Inverse Trigonometric Functions, Class 12 Mathematics R.D Sharma Question Answer

Page 4.7 Ex. 4.1 Q1. Answer : (i) Let tan-1-3=y Then, tany=-3 We know that the range of the principal value branch is -π2, π 2. Thus, tany=-3=-tanπ3=tan-π3⇒y=-π3∈-π2,π2 Hence, the principal value of tan-1-3 is -π3. (ii) Let cos-1-12=y Then, cosy=-12 We know that the range of the principal value branch is 0, π. Thus, […]