NCERT Class 10 Maths Solutions: Quadratic Equations Question:  Find two consecutive positive integers, sum of whose squares is 365. Concept in a Minute: Quadratic Equations: Understanding how to form and solve quadratic equations from word problems. This involves setting up an equation with a variable representing the unknown integer(s) and then manipulating it into the […]

NCERT Class 10 Maths Solutions: Probability Question: Are the arguments in the following sentence correct or not correct? Give a reason for your answer. If two coins are tossed simultaneously there are three possible outcomes, two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $13.$ A. Correct

NCERT Class 10 Maths Solutions: Polynomials Question: Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients: x2 – 2x – 8 Concept in a Minute: To find the zeroes of a quadratic polynomial, we set the polynomial equal to zero and solve for the variable. This

NCERT Class 10 Maths Solutions: Pair of Linear Equations in Two Variables Question: On comparing the ratios $𝐚𝟏𝐚𝟐,𝐛𝟏𝐛𝟐$ and $𝐜𝟏𝐜𝟐$, find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x – 3y = 7 Concept in a Minute: To determine if a pair of linear

NCERT Class 10 Maths Solutions: Introduction to Trigonometry Question: (1 + tan θ + sec θ) (1 + cot θ − cosec θ) = ______. A. 0 B. 1 C. 2 D. -1 E. none of these Concept in a Minute: Trigonometric Identities: Specifically, the fundamental Pythagorean identities and relationships between trigonometric functions (tan, cot,

NCERT Class 10 Maths Solutions: Coordinate Geometry Question: Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (−3, 4). Concept in a Minute: The distance formula between two points (x1, y1) and (x2, y2) is given by sqrt((x2-x1)^2 + (y2-y1)^2). The concept of

NCERT Class 10 Maths Solutions: Circles Question: If tangents PA and PB from a point P to a circle with centre O are inclined to each other an angle of 80°, then ∠POA is equal to ______. A. 50° B. 60° C. 70° D. 80° E. 40° Concept in a Minute: Tangents from an external

NCERT Class 10 Maths Solutions: Arithmetic Progressions Question: Choose the correct choice in the following and justify: 30th term of the AP: 10, 7, 4, …, is ______. A. 97 B. 77 C. –77 D. – 87 Concept in a Minute: Arithmetic Progression (AP): A sequence of numbers such that the difference between the consecutive

NCERT Class 10 Maths Solutions: Areas Related to Circles Question: A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. [Use π = 3.14 and $\sqrt{3=1.73}$ ] Concept in a Minute: The area of a segment of a circle is the

Human Impact on the Environment Human Impact on the Environment: Deforestation, Pollution, Unsustainable Practices, Conservation Efforts Definition Human impact on the environment refers to the detrimental changes humans have made to the natural world. This encompasses a wide range of issues, including deforestation, pollution of air, water, and land, unsustainable resource consumption, climate change, and