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!

Sol: Given: p(x) = 41 - 72x - 36x By adding this equal to zero, we get x = −2 Now let's look at the second derivative of the given...

Sol: Given: A:B = 5:6 So, B:C = 4:7 So, From the equation [1] and [2]; 10 : 12 : 21. Therefore, A:B:C = 10 : 12 : 21. Explore more...

Given: Let From the equation [1] and [2], we get Therefore, the value of y does not exist. Explore more such questions and...

Sol: Perimeter = 32 m. Therefore, The length of a side = = 8m. Diagonal of a rhombus = 10m. As we know; The halves of diagonals and the...

There are four suits in a pack of 52 cards. 13− Heart 13− Diamond 13− Spades 13− Clubs Each suite has one ace, one...

Sol: Given: L.H.S = \frac{cot A - 1}{2 - sec^{2}A} \)\) \(\Rightarrow \frac{1 - tan A}{tan A (1 - tan) (1 + tan)}...

Let the number of men in a bus be x Let the number of women in a bus be x As given in the question: x - 10 = x - x = 5 + 10 = 15 x = 30....

y = log(sin 3x) Differentiating with respect to x, we get, Explore more such questions and answers at BYJU'S....

The circumference of the base of a hemisphere = 2π Therefore, 2πr = 2π r = 1 Its volume = Explore more such questions and answers...

Sol: Let x be the price at which Raju bought the cycle and is sold at 8% profit. Therefore, the selling price (SP) = Amit bought the cycle at...

Yes. All squares are parallelograms. This is because the opposite sides of a parallelogram are equal in length; hence squares with all sides...

Sol: Let the maximum volume of the cone that can be carved will be of radius = 0.5 side length of cube. Radius, R = 0.5L = 0.5 * 21 = 10.5 cm...

The given statement is false. All rectangles are parallelograms, but all parallelograms are not rectangles. Explore more such questions and...

Sol: Given: (a-b)^{2}, (a^{2}+b^{2}) and (a+b)^{2} The common differences, d_{1} The common differences, d_{2} Therefore, d_{1 = d_{2}}...

The correct answer is (D) 23857. 23857 is a prime number and not a perfect square. (A) 11025 = 105 * 105. It is a perfect square. (B) 16384 =...

Let the capital be Rs. x Therefore, the capital will be worth Rs.6600. Explore more such questions and answers at BYJU’S....

Sol: Given: x2 + y2 + z2 - 3 = 0 The equation of tangent plane to the sphere at (x1,y1,z1) is, x x1 + y y1 + z z1 + u (x+ x1) + v (y+ y1) + w (z+...

Sol: Let the cost price(CP) of 1 spoon = Rs.1 So, cost price(CP) of 16 spoons = Rs.16 Selling price(SP) of 15 spoons = Rs.15 As given in the...

The points A(−4,9,6), B(−1,6,6) and C(0,7,10) form a right-angled, isosceles triangle. Therefore, the triangle formed from...

\alpha is the roots, therefore: As it is not possible: OR From the equation [1] and [2] Explore more such questions and...

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