Maths is quite an abstract subject, and it can be rather intimidating at times. However, you can learn mathematics easily and effortlessly if you practice enough. To guide you in this endeavour, we have provided detailed solutions on many important concepts. The solutions are elaborated with simple, yet detailed explanations. Relevant formulas are listed out wherever required. Tips and shortcuts are provided to save precious time and effort.

Content is presented in a format which can be comprehended with ease. This means students will understand concepts without much hassle. From an exam perspective, a wide range of questions is covered from a plethora of subjects concepts from Trigonometry and Statistics to Calculus and Integrals.

Just like any other subject, mathematics can be better understood through exhaustive practice. Consider this analogy: a skill such as dancing or painting can only be perfected with enough practice. Similarly, the only way to get better at math is to keep practising. Moreover, we have a database of questions extracted from school textbooks and competitive exams. These will help the students to practice and perfect concepts in mathematics.

We are also here to help you solve your doubts. Post your questions in the comment box below and we will immediately provide answers and a detailed step-by-step process to solve the same. Register at BYJU’S and start practising Maths Questions today!

Solution: Given points are (-1, 1) and (2, -4). (x1, y1) = (-1, 1) and (x2, y2) = (2, -4) Slope m = (y2 - y1)/(x2 - x1) = (-4 - 1)/(2 - -1)...

Solution: An additive inverse of a number is the value, which on adding with the original number results in zero value. For example, the...

Solution: Factors of 78 are 1, 2, 3, 6,13, 26, 39 and 78. Sum of factors = 1 + 2 + 3 + 6 + 13 + 26 + 39 + 78 = 168 Hence the sum of factors...

(a) 1 (b) 0 (c) 2 (d) none of these Answer: Given sin A + cos A = √2 Squaring both sides sin2A + cos2A + 2 sin A cos A = 2 1 -...

Solution: Sum of 8/3 and 4/7 = (8/3) + (4/7) = (56 + 12)/21 = 68/21 Product of -3/7 and 14/9 = (-3/7) × (14/9) = -3 × 2/9 =...

Solution: Let x/y be the fraction. Add 1 to the numerator and subtract 1 from the denominator. (x+1)/(y-1) = 1 => x+1 = y-1 => x = y-2...

Solution: 4x2 - 4x - 3 = 0 4x2 - 6x + 2x - 3 = 0 2x(2x - 3) +(2x - 3) = 0 (2x + 1)(2x - 3) = 0 2x = -1 or 2x = 3 x = -1/2 or x = 3/2 Sum...

Solution: Length of classroom = 10 m Breadth of classroom = 6.4 m Height of classroom = 5 m Area of classroom = length × breadth =...

Solution: nCr = n!/r!(n-r)! 10C3 = 10!/3!7! = 10×9×8/2×3 = 120 Hence the value of 10C3 = 120....

(A) 25 (B) 6 (C) 1 (D) 5 Solution: HCF is the highest factor of all the common factor in the given number’ So we can factorise...

Solution: 3(5z-7) - 2(9z-11) = 4(8z-13)-17 15z - 21 - 18z + 22 = 32z - 52 - 17 - 21 + 22 + 52 + 17 = 32z - 15z + 18z 35z = 70 z = 70/35 = 2...

Solution: Given length of the room = 12 m Cost of matting floor = area of floor × rate per m2 Area of floor = Cost of matting floor/rate...

(a) 4/15 (b) 1/5 (c) 2/15 (d) 1/15 Solution: Total number of outcomes = 15 From the numbers 1,2,3.......15, multiples of 4 are 4, 8 and 12....

Solution: The triangle ABC in which the sides AB, BC and CA produced to points F, D, and E. We have to prove that ∠DCA + ∠FAE + ∠FBD = 3600....

Solution: Given OR perpendicular to PQ. ∠POR = ∠ROQ ∠QOS = ∠ROQ + ∠ROS = 900 + ∠ROS …(i) ∠POS = ∠POR - ∠ROS = 90 - ∠ROS …(ii) (i) - (ii)...

Sol: Given: 9x - 10y = 14 ---[2] Here: c_{1} = 7 a_{2} = 9 b_{2} = -10 c_{2} = 14 Thus, = = = = =...

Given: The metal ring of radius = r The cross-sectional area = A Thermal strain = Therefore, F = yA Therefore, the tension in...

Consider the given equations. 8x −3y = 5xy --- [1] 6x − 5y = −2xy ---[2] From both the equation: [1] and [2] Now by...

Sol: Let us consider that the total annual premium paid by Mr. Pankaj be Rs.x. Then, from the question. 18% of x = SGST + CGST As SGST = CGST...

Sol: 8 * 6 = 48. So 8 and 6 are factors of 48. Explore more such questions and answers at BYJU’S....

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